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Finding the Fourth Proportional to 83,272.74, 124,910.73 and 30,655.14

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Solution

The fourth proportional to 83,272.74, 124,910.73 and 30,655.14 is: 45,983.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,272.74 : 124,910.73 = 30,655.14 : x
  2. Step 2: Convert to fraction form
    83,272.74/124,910.73 = 30,655.14/x
  3. Step 3: Cross multiply
    83,272.74x = 124,910.73 × 30,655.14
  4. Step 4: Simplify right side
    83,272.74x = 3,829,155,915.65
  5. Step 5: Solve for x
    x = 3,829,155,915.65/83,272.74
  6. Step 6: Final answer
    x = 45,983.31

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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.