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Finding the Fourth Proportional to 96,458.64, 144,631.08 and 33,257.04

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Solution

The fourth proportional to 96,458.64, 144,631.08 and 33,257.04 is: 49,865.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,458.64 : 144,631.08 = 33,257.04 : x
  2. Step 2: Convert to fraction form
    96,458.64/144,631.08 = 33,257.04/x
  3. Step 3: Cross multiply
    96,458.64x = 144,631.08 × 33,257.04
  4. Step 4: Simplify right side
    96,458.64x = 4,810,001,612.80
  5. Step 5: Solve for x
    x = 4,810,001,612.80/96,458.64
  6. Step 6: Final answer
    x = 49,865.95

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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.