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Finding the Fourth Proportional to 52,035.45, 71,792.15 and 31,871.31

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Solution

The fourth proportional to 52,035.45, 71,792.15 and 31,871.31 is: 43,972.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,035.45 : 71,792.15 = 31,871.31 : x
  2. Step 2: Convert to fraction form
    52,035.45/71,792.15 = 31,871.31/x
  3. Step 3: Cross multiply
    52,035.45x = 71,792.15 × 31,871.31
  4. Step 4: Simplify right side
    52,035.45x = 2,288,109,509.26
  5. Step 5: Solve for x
    x = 2,288,109,509.26/52,035.45
  6. Step 6: Final answer
    x = 43,972.13

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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.