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Finding the Fourth Proportional to 57,002.50, 85,506.18 and 15,449.50

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Solution

The fourth proportional to 57,002.50, 85,506.18 and 15,449.50 is: 23,174.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,002.50 : 85,506.18 = 15,449.50 : x
  2. Step 2: Convert to fraction form
    57,002.50/85,506.18 = 15,449.50/x
  3. Step 3: Cross multiply
    57,002.50x = 85,506.18 × 15,449.50
  4. Step 4: Simplify right side
    57,002.50x = 1,321,027,727.91
  5. Step 5: Solve for x
    x = 1,321,027,727.91/57,002.50
  6. Step 6: Final answer
    x = 23,174.91

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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.