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Finding the Fourth Proportional to 82,175.52, 113,402.16 and 44,449.80

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Solution

The fourth proportional to 82,175.52, 113,402.16 and 44,449.80 is: 61,340.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,175.52 : 113,402.16 = 44,449.80 : x
  2. Step 2: Convert to fraction form
    82,175.52/113,402.16 = 44,449.80/x
  3. Step 3: Cross multiply
    82,175.52x = 113,402.16 × 44,449.80
  4. Step 4: Simplify right side
    82,175.52x = 5,040,703,331.57
  5. Step 5: Solve for x
    x = 5,040,703,331.57/82,175.52
  6. Step 6: Final answer
    x = 61,340.69

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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.