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Finding the Fourth Proportional to 83,138.38, 124,734.14 and 29,794.34

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Solution

The fourth proportional to 83,138.38, 124,734.14 and 29,794.34 is: 44,701.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,138.38 : 124,734.14 = 29,794.34 : x
  2. Step 2: Convert to fraction form
    83,138.38/124,734.14 = 29,794.34/x
  3. Step 3: Cross multiply
    83,138.38x = 124,734.14 × 29,794.34
  4. Step 4: Simplify right side
    83,138.38x = 3,716,371,376.77
  5. Step 5: Solve for x
    x = 3,716,371,376.77/83,138.38
  6. Step 6: Final answer
    x = 44,701.03

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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.