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Finding the Fourth Proportional to 52,452.70, 72,385.05 and 31,232.86

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Solution

The fourth proportional to 52,452.70, 72,385.05 and 31,232.86 is: 43,101.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,452.70 : 72,385.05 = 31,232.86 : x
  2. Step 2: Convert to fraction form
    52,452.70/72,385.05 = 31,232.86/x
  3. Step 3: Cross multiply
    52,452.70x = 72,385.05 × 31,232.86
  4. Step 4: Simplify right side
    52,452.70x = 2,260,792,132.74
  5. Step 5: Solve for x
    x = 2,260,792,132.74/52,452.70
  6. Step 6: Final answer
    x = 43,101.54

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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.