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Finding the Fourth Proportional to 83,170.32, 114,761.16 and 47,360.88

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Solution

The fourth proportional to 83,170.32, 114,761.16 and 47,360.88 is: 65,350.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,170.32 : 114,761.16 = 47,360.88 : x
  2. Step 2: Convert to fraction form
    83,170.32/114,761.16 = 47,360.88/x
  3. Step 3: Cross multiply
    83,170.32x = 114,761.16 × 47,360.88
  4. Step 4: Simplify right side
    83,170.32x = 5,435,189,527.42
  5. Step 5: Solve for x
    x = 5,435,189,527.42/83,170.32
  6. Step 6: Final answer
    x = 65,350.11

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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.