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Finding the Fourth Proportional to 83,174.70, 114,780.96 and 47,364.73

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Solution

The fourth proportional to 83,174.70, 114,780.96 and 47,364.73 is: 65,363.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,174.70 : 114,780.96 = 47,364.73 : x
  2. Step 2: Convert to fraction form
    83,174.70/114,780.96 = 47,364.73/x
  3. Step 3: Cross multiply
    83,174.70x = 114,780.96 × 47,364.73
  4. Step 4: Simplify right side
    83,174.70x = 5,436,568,892.59
  5. Step 5: Solve for x
    x = 5,436,568,892.59/83,174.70
  6. Step 6: Final answer
    x = 65,363.25

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1.5x scale

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.