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Finding the Fourth Proportional to 77,497.60, 116,098.20 and 52,414.40

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Solution

The fourth proportional to 77,497.60, 116,098.20 and 52,414.40 is: 78,521.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,497.60 : 116,098.20 = 52,414.40 : x
  2. Step 2: Convert to fraction form
    77,497.60/116,098.20 = 52,414.40/x
  3. Step 3: Cross multiply
    77,497.60x = 116,098.20 × 52,414.40
  4. Step 4: Simplify right side
    77,497.60x = 6,085,217,494.08
  5. Step 5: Solve for x
    x = 6,085,217,494.08/77,497.60
  6. Step 6: Final answer
    x = 78,521.37

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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.