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Finding the Fourth Proportional to 66,502.10, 91,788.65 and 38,224.19

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Solution

The fourth proportional to 66,502.10, 91,788.65 and 38,224.19 is: 52,758.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,502.10 : 91,788.65 = 38,224.19 : x
  2. Step 2: Convert to fraction form
    66,502.10/91,788.65 = 38,224.19/x
  3. Step 3: Cross multiply
    66,502.10x = 91,788.65 × 38,224.19
  4. Step 4: Simplify right side
    66,502.10x = 3,508,546,147.38
  5. Step 5: Solve for x
    x = 3,508,546,147.38/66,502.10
  6. Step 6: Final answer
    x = 52,758.43

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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.