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Finding the Fourth Proportional to 46,498.32, 64,146.78 and 27,624.42

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Solution

The fourth proportional to 46,498.32, 64,146.78 and 27,624.42 is: 38,109.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,498.32 : 64,146.78 = 27,624.42 : x
  2. Step 2: Convert to fraction form
    46,498.32/64,146.78 = 27,624.42/x
  3. Step 3: Cross multiply
    46,498.32x = 64,146.78 × 27,624.42
  4. Step 4: Simplify right side
    46,498.32x = 1,772,017,592.37
  5. Step 5: Solve for x
    x = 1,772,017,592.37/46,498.32
  6. Step 6: Final answer
    x = 38,109.28

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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.