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Finding the Fourth Proportional to 57,157.66, 78,904.92 and 38,069.20

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Solution

The fourth proportional to 57,157.66, 78,904.92 and 38,069.20 is: 52,553.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,157.66 : 78,904.92 = 38,069.20 : x
  2. Step 2: Convert to fraction form
    57,157.66/78,904.92 = 38,069.20/x
  3. Step 3: Cross multiply
    57,157.66x = 78,904.92 × 38,069.20
  4. Step 4: Simplify right side
    57,157.66x = 3,003,847,180.46
  5. Step 5: Solve for x
    x = 3,003,847,180.46/57,157.66
  6. Step 6: Final answer
    x = 52,553.71

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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.