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Finding the Fourth Proportional to 83,157.17, 124,766.73 and 49,901.09

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Solution

The fourth proportional to 83,157.17, 124,766.73 and 49,901.09 is: 74,870.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,157.17 : 124,766.73 = 49,901.09 : x
  2. Step 2: Convert to fraction form
    83,157.17/124,766.73 = 49,901.09/x
  3. Step 3: Cross multiply
    83,157.17x = 124,766.73 × 49,901.09
  4. Step 4: Simplify right side
    83,157.17x = 6,225,995,198.90
  5. Step 5: Solve for x
    x = 6,225,995,198.90/83,157.17
  6. Step 6: Final answer
    x = 74,870.22

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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.