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Finding the Fourth Proportional to 83,149.29, 114,741.90 and 47,335.95

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Solution

The fourth proportional to 83,149.29, 114,741.90 and 47,335.95 is: 65,321.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,149.29 : 114,741.90 = 47,335.95 : x
  2. Step 2: Convert to fraction form
    83,149.29/114,741.90 = 47,335.95/x
  3. Step 3: Cross multiply
    83,149.29x = 114,741.90 × 47,335.95
  4. Step 4: Simplify right side
    83,149.29x = 5,431,416,841.31
  5. Step 5: Solve for x
    x = 5,431,416,841.31/83,149.29
  6. Step 6: Final answer
    x = 65,321.27

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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.