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Finding the Fourth Proportional to 77,658.64, 116,468.70 and 33,280.36

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Solution

The fourth proportional to 77,658.64, 116,468.70 and 33,280.36 is: 49,912.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,658.64 : 116,468.70 = 33,280.36 : x
  2. Step 2: Convert to fraction form
    77,658.64/116,468.70 = 33,280.36/x
  3. Step 3: Cross multiply
    77,658.64x = 116,468.70 × 33,280.36
  4. Step 4: Simplify right side
    77,658.64x = 3,876,120,264.73
  5. Step 5: Solve for x
    x = 3,876,120,264.73/77,658.64
  6. Step 6: Final answer
    x = 49,912.29

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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.