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Finding the Fourth Proportional to 32,361.98, 48,542.92 and 10,177.29

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Solution

The fourth proportional to 32,361.98, 48,542.92 and 10,177.29 is: 15,265.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,361.98 : 48,542.92 = 10,177.29 : x
  2. Step 2: Convert to fraction form
    32,361.98/48,542.92 = 10,177.29/x
  3. Step 3: Cross multiply
    32,361.98x = 48,542.92 × 10,177.29
  4. Step 4: Simplify right side
    32,361.98x = 494,035,374.29
  5. Step 5: Solve for x
    x = 494,035,374.29/32,361.98
  6. Step 6: Final answer
    x = 15,265.92

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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.