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Finding the Fourth Proportional to 96,635.33, 144,797.17 and 52,282.97

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Solution

The fourth proportional to 96,635.33, 144,797.17 and 52,282.97 is: 78,340.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,635.33 : 144,797.17 = 52,282.97 : x
  2. Step 2: Convert to fraction form
    96,635.33/144,797.17 = 52,282.97/x
  3. Step 3: Cross multiply
    96,635.33x = 144,797.17 × 52,282.97
  4. Step 4: Simplify right side
    96,635.33x = 7,570,425,881.52
  5. Step 5: Solve for x
    x = 7,570,425,881.52/96,635.33
  6. Step 6: Final answer
    x = 78,340.15

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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.