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Finding the Fourth Proportional to 57,002.40, 78,715.80 and 38,194.20

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Solution

The fourth proportional to 57,002.40, 78,715.80 and 38,194.20 is: 52,743.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,002.40 : 78,715.80 = 38,194.20 : x
  2. Step 2: Convert to fraction form
    57,002.40/78,715.80 = 38,194.20/x
  3. Step 3: Cross multiply
    57,002.40x = 78,715.80 × 38,194.20
  4. Step 4: Simplify right side
    57,002.40x = 3,006,487,008.36
  5. Step 5: Solve for x
    x = 3,006,487,008.36/57,002.40
  6. Step 6: Final answer
    x = 52,743.17

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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.