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Finding the Fourth Proportional to 71,461.78, 107,256.91 and 38,210.27

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Solution

The fourth proportional to 71,461.78, 107,256.91 and 38,210.27 is: 57,349.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,461.78 : 107,256.91 = 38,210.27 : x
  2. Step 2: Convert to fraction form
    71,461.78/107,256.91 = 38,210.27/x
  3. Step 3: Cross multiply
    71,461.78x = 107,256.91 × 38,210.27
  4. Step 4: Simplify right side
    71,461.78x = 4,098,314,930.30
  5. Step 5: Solve for x
    x = 4,098,314,930.30/71,461.78
  6. Step 6: Final answer
    x = 57,349.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.