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Finding the Fourth Proportional to 69,717.62, 96,209.86 and 37,886.52

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Solution

The fourth proportional to 69,717.62, 96,209.86 and 37,886.52 is: 52,283.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,717.62 : 96,209.86 = 37,886.52 : x
  2. Step 2: Convert to fraction form
    69,717.62/96,209.86 = 37,886.52/x
  3. Step 3: Cross multiply
    69,717.62x = 96,209.86 × 37,886.52
  4. Step 4: Simplify right side
    69,717.62x = 3,645,057,146.73
  5. Step 5: Solve for x
    x = 3,645,057,146.73/69,717.62
  6. Step 6: Final answer
    x = 52,283.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.