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Finding the Fourth Proportional to 83,188.50, 114,793.59 and 47,371.38

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Solution

The fourth proportional to 83,188.50, 114,793.59 and 47,371.38 is: 65,368.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,188.50 : 114,793.59 = 47,371.38 : x
  2. Step 2: Convert to fraction form
    83,188.50/114,793.59 = 47,371.38/x
  3. Step 3: Cross multiply
    83,188.50x = 114,793.59 × 47,371.38
  4. Step 4: Simplify right side
    83,188.50x = 5,437,930,773.45
  5. Step 5: Solve for x
    x = 5,437,930,773.45/83,188.50
  6. Step 6: Final answer
    x = 65,368.78

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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.