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Finding the Fourth Proportional to 77,353.60, 116,031.84 and 61,957.12

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Solution

The fourth proportional to 77,353.60, 116,031.84 and 61,957.12 is: 92,936.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,353.60 : 116,031.84 = 61,957.12 : x
  2. Step 2: Convert to fraction form
    77,353.60/116,031.84 = 61,957.12/x
  3. Step 3: Cross multiply
    77,353.60x = 116,031.84 × 61,957.12
  4. Step 4: Simplify right side
    77,353.60x = 7,188,998,634.70
  5. Step 5: Solve for x
    x = 7,188,998,634.70/77,353.60
  6. Step 6: Final answer
    x = 92,936.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.