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Finding the Fourth Proportional to 96,281.92, 144,436.56 and 29,727.52

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Solution

The fourth proportional to 96,281.92, 144,436.56 and 29,727.52 is: 44,595.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,281.92 : 144,436.56 = 29,727.52 : x
  2. Step 2: Convert to fraction form
    96,281.92/144,436.56 = 29,727.52/x
  3. Step 3: Cross multiply
    96,281.92x = 144,436.56 × 29,727.52
  4. Step 4: Simplify right side
    96,281.92x = 4,293,740,726.13
  5. Step 5: Solve for x
    x = 4,293,740,726.13/96,281.92
  6. Step 6: Final answer
    x = 44,595.50

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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.