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Finding the Fourth Proportional to 57,114, 85,569.24 and 48,708.74

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Solution

The fourth proportional to 57,114, 85,569.24 and 48,708.74 is: 72,976.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,114 : 85,569.24 = 48,708.74 : x
  2. Step 2: Convert to fraction form
    57,114/85,569.24 = 48,708.74/x
  3. Step 3: Cross multiply
    57,114x = 85,569.24 × 48,708.74
  4. Step 4: Simplify right side
    57,114x = 4,167,969,863.16
  5. Step 5: Solve for x
    x = 4,167,969,863.16/57,114
  6. Step 6: Final answer
    x = 72,976.33

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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.