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Finding the Fourth Proportional to 83,180.64, 114,789.12 and 47,370.66

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Solution

The fourth proportional to 83,180.64, 114,789.12 and 47,370.66 is: 65,371.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,180.64 : 114,789.12 = 47,370.66 : x
  2. Step 2: Convert to fraction form
    83,180.64/114,789.12 = 47,370.66/x
  3. Step 3: Cross multiply
    83,180.64x = 114,789.12 × 47,370.66
  4. Step 4: Simplify right side
    83,180.64x = 5,437,636,375.22
  5. Step 5: Solve for x
    x = 5,437,636,375.22/83,180.64
  6. Step 6: Final answer
    x = 65,371.42

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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.