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Finding the Fourth Proportional to 96,250.92, 144,392.79 and 29,678.64

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Solution

The fourth proportional to 96,250.92, 144,392.79 and 29,678.64 is: 44,523.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,250.92 : 144,392.79 = 29,678.64 : x
  2. Step 2: Convert to fraction form
    96,250.92/144,392.79 = 29,678.64/x
  3. Step 3: Cross multiply
    96,250.92x = 144,392.79 × 29,678.64
  4. Step 4: Simplify right side
    96,250.92x = 4,285,381,202.83
  5. Step 5: Solve for x
    x = 4,285,381,202.83/96,250.92
  6. Step 6: Final answer
    x = 44,523.02

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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.