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Finding the Fourth Proportional to 57,136.20, 78,766.80 and 42,002.16

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Solution

The fourth proportional to 57,136.20, 78,766.80 and 42,002.16 is: 57,903.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,136.20 : 78,766.80 = 42,002.16 : x
  2. Step 2: Convert to fraction form
    57,136.20/78,766.80 = 42,002.16/x
  3. Step 3: Cross multiply
    57,136.20x = 78,766.80 × 42,002.16
  4. Step 4: Simplify right side
    57,136.20x = 3,308,375,736.29
  5. Step 5: Solve for x
    x = 3,308,375,736.29/57,136.20
  6. Step 6: Final answer
    x = 57,903.32

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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.