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Finding the Fourth Proportional to 96,426.56, 144,639.82 and 29,867.24

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Solution

The fourth proportional to 96,426.56, 144,639.82 and 29,867.24 is: 44,800.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,426.56 : 144,639.82 = 29,867.24 : x
  2. Step 2: Convert to fraction form
    96,426.56/144,639.82 = 29,867.24/x
  3. Step 3: Cross multiply
    96,426.56x = 144,639.82 × 29,867.24
  4. Step 4: Simplify right side
    96,426.56x = 4,319,992,217.50
  5. Step 5: Solve for x
    x = 4,319,992,217.50/96,426.56
  6. Step 6: Final answer
    x = 44,800.85

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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.