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Finding the Fourth Proportional to 33,643.50, 46,425.80 and 20,206.76

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Solution

The fourth proportional to 33,643.50, 46,425.80 and 20,206.76 is: 27,883.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,643.50 : 46,425.80 = 20,206.76 : x
  2. Step 2: Convert to fraction form
    33,643.50/46,425.80 = 20,206.76/x
  3. Step 3: Cross multiply
    33,643.50x = 46,425.80 × 20,206.76
  4. Step 4: Simplify right side
    33,643.50x = 938,114,998.41
  5. Step 5: Solve for x
    x = 938,114,998.41/33,643.50
  6. Step 6: Final answer
    x = 27,883.99

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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.