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Finding the Fourth Proportional to 52,409.40, 78,614.10 and 31,414.20

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Solution

The fourth proportional to 52,409.40, 78,614.10 and 31,414.20 is: 47,121.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,409.40 : 78,614.10 = 31,414.20 : x
  2. Step 2: Convert to fraction form
    52,409.40/78,614.10 = 31,414.20/x
  3. Step 3: Cross multiply
    52,409.40x = 78,614.10 × 31,414.20
  4. Step 4: Simplify right side
    52,409.40x = 2,469,599,060.22
  5. Step 5: Solve for x
    x = 2,469,599,060.22/52,409.40
  6. Step 6: Final answer
    x = 47,121.30

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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.