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Finding the Fourth Proportional to 96,863.16, 145,294.74 and 34,489.92

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Solution

The fourth proportional to 96,863.16, 145,294.74 and 34,489.92 is: 51,734.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,863.16 : 145,294.74 = 34,489.92 : x
  2. Step 2: Convert to fraction form
    96,863.16/145,294.74 = 34,489.92/x
  3. Step 3: Cross multiply
    96,863.16x = 145,294.74 × 34,489.92
  4. Step 4: Simplify right side
    96,863.16x = 5,011,203,959.02
  5. Step 5: Solve for x
    x = 5,011,203,959.02/96,863.16
  6. Step 6: Final answer
    x = 51,734.88

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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.