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Finding the Fourth Proportional to 71,032.32, 98,024.94 and 39,202.14

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Solution

The fourth proportional to 71,032.32, 98,024.94 and 39,202.14 is: 54,099.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,032.32 : 98,024.94 = 39,202.14 : x
  2. Step 2: Convert to fraction form
    71,032.32/98,024.94 = 39,202.14/x
  3. Step 3: Cross multiply
    71,032.32x = 98,024.94 × 39,202.14
  4. Step 4: Simplify right side
    71,032.32x = 3,842,787,421.37
  5. Step 5: Solve for x
    x = 3,842,787,421.37/71,032.32
  6. Step 6: Final answer
    x = 54,099.14

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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.