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Finding the Fourth Proportional to 33,422.50, 46,123.05 and 19,994.32

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Solution

The fourth proportional to 33,422.50, 46,123.05 and 19,994.32 is: 27,592.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,422.50 : 46,123.05 = 19,994.32 : x
  2. Step 2: Convert to fraction form
    33,422.50/46,123.05 = 19,994.32/x
  3. Step 3: Cross multiply
    33,422.50x = 46,123.05 × 19,994.32
  4. Step 4: Simplify right side
    33,422.50x = 922,199,021.08
  5. Step 5: Solve for x
    x = 922,199,021.08/33,422.50
  6. Step 6: Final answer
    x = 27,592.16

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.