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Finding the Fourth Proportional to 82,397.96, 113,708.92 and 44,672.24

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Solution

The fourth proportional to 82,397.96, 113,708.92 and 44,672.24 is: 61,647.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,397.96 : 113,708.92 = 44,672.24 : x
  2. Step 2: Convert to fraction form
    82,397.96/113,708.92 = 44,672.24/x
  3. Step 3: Cross multiply
    82,397.96x = 113,708.92 × 44,672.24
  4. Step 4: Simplify right side
    82,397.96x = 5,079,632,164.38
  5. Step 5: Solve for x
    x = 5,079,632,164.38/82,397.96
  6. Step 6: Final answer
    x = 61,647.55

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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.