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Finding the Fourth Proportional to 83,065.29, 114,626.12 and 47,251.95

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Solution

The fourth proportional to 83,065.29, 114,626.12 and 47,251.95 is: 65,205.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,065.29 : 114,626.12 = 47,251.95 : x
  2. Step 2: Convert to fraction form
    83,065.29/114,626.12 = 47,251.95/x
  3. Step 3: Cross multiply
    83,065.29x = 114,626.12 × 47,251.95
  4. Step 4: Simplify right side
    83,065.29x = 5,416,307,454.67
  5. Step 5: Solve for x
    x = 5,416,307,454.67/83,065.29
  6. Step 6: Final answer
    x = 65,205.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.