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Finding the Fourth Proportional to 52,039.13, 71,815.31 and 31,907.11

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Solution

The fourth proportional to 52,039.13, 71,815.31 and 31,907.11 is: 44,032.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,039.13 : 71,815.31 = 31,907.11 : x
  2. Step 2: Convert to fraction form
    52,039.13/71,815.31 = 31,907.11/x
  3. Step 3: Cross multiply
    52,039.13x = 71,815.31 × 31,907.11
  4. Step 4: Simplify right side
    52,039.13x = 2,291,419,255.16
  5. Step 5: Solve for x
    x = 2,291,419,255.16/52,039.13
  6. Step 6: Final answer
    x = 44,032.62

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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.