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Finding the Fourth Proportional to 83,966.23, 125,978.51 and 37,251.91

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Solution

The fourth proportional to 83,966.23, 125,978.51 and 37,251.91 is: 55,890.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,966.23 : 125,978.51 = 37,251.91 : x
  2. Step 2: Convert to fraction form
    83,966.23/125,978.51 = 37,251.91/x
  3. Step 3: Cross multiply
    83,966.23x = 125,978.51 × 37,251.91
  4. Step 4: Simplify right side
    83,966.23x = 4,692,940,116.45
  5. Step 5: Solve for x
    x = 4,692,940,116.45/83,966.23
  6. Step 6: Final answer
    x = 55,890.80

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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.