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Finding the Fourth Proportional to 96,502.97, 144,765.12 and 33,315.92

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Solution

The fourth proportional to 96,502.97, 144,765.12 and 33,315.92 is: 49,977.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,502.97 : 144,765.12 = 33,315.92 : x
  2. Step 2: Convert to fraction form
    96,502.97/144,765.12 = 33,315.92/x
  3. Step 3: Cross multiply
    96,502.97x = 144,765.12 × 33,315.92
  4. Step 4: Simplify right side
    96,502.97x = 4,822,982,432.88
  5. Step 5: Solve for x
    x = 4,822,982,432.88/96,502.97
  6. Step 6: Final answer
    x = 49,977.56

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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.