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Finding the Fourth Proportional to 71,142.29, 98,172.10 and 38,870.47

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Solution

The fourth proportional to 71,142.29, 98,172.10 and 38,870.47 is: 53,638.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,142.29 : 98,172.10 = 38,870.47 : x
  2. Step 2: Convert to fraction form
    71,142.29/98,172.10 = 38,870.47/x
  3. Step 3: Cross multiply
    71,142.29x = 98,172.10 × 38,870.47
  4. Step 4: Simplify right side
    71,142.29x = 3,815,995,667.89
  5. Step 5: Solve for x
    x = 3,815,995,667.89/71,142.29
  6. Step 6: Final answer
    x = 53,638.92

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