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Finding the Fourth Proportional to 83,171.70, 124,777.80 and 24,006.06

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Solution

The fourth proportional to 83,171.70, 124,777.80 and 24,006.06 is: 36,014.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,171.70 : 124,777.80 = 24,006.06 : x
  2. Step 2: Convert to fraction form
    83,171.70/124,777.80 = 24,006.06/x
  3. Step 3: Cross multiply
    83,171.70x = 124,777.80 × 24,006.06
  4. Step 4: Simplify right side
    83,171.70x = 2,995,423,353.47
  5. Step 5: Solve for x
    x = 2,995,423,353.47/83,171.70
  6. Step 6: Final answer
    x = 36,014.93

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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.