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Finding the Fourth Proportional to 52,412.40, 78,618.60 and 31,417.20

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Solution

The fourth proportional to 52,412.40, 78,618.60 and 31,417.20 is: 47,125.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,412.40 : 78,618.60 = 31,417.20 : x
  2. Step 2: Convert to fraction form
    52,412.40/78,618.60 = 31,417.20/x
  3. Step 3: Cross multiply
    52,412.40x = 78,618.60 × 31,417.20
  4. Step 4: Simplify right side
    52,412.40x = 2,469,976,279.92
  5. Step 5: Solve for x
    x = 2,469,976,279.92/52,412.40
  6. Step 6: Final answer
    x = 47,125.80

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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.