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Finding the Fourth Proportional to 83,184.92, 114,781.92 and 47,375.60

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Solution

The fourth proportional to 83,184.92, 114,781.92 and 47,375.60 is: 65,370.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,184.92 : 114,781.92 = 47,375.60 : x
  2. Step 2: Convert to fraction form
    83,184.92/114,781.92 = 47,375.60/x
  3. Step 3: Cross multiply
    83,184.92x = 114,781.92 × 47,375.60
  4. Step 4: Simplify right side
    83,184.92x = 5,437,862,329.15
  5. Step 5: Solve for x
    x = 5,437,862,329.15/83,184.92
  6. Step 6: Final answer
    x = 65,370.77

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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.