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Finding the Fourth Proportional to 82,049.39, 113,265.95 and 48,053.15

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Solution

The fourth proportional to 82,049.39, 113,265.95 and 48,053.15 is: 66,335.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,049.39 : 113,265.95 = 48,053.15 : x
  2. Step 2: Convert to fraction form
    82,049.39/113,265.95 = 48,053.15/x
  3. Step 3: Cross multiply
    82,049.39x = 113,265.95 × 48,053.15
  4. Step 4: Simplify right side
    82,049.39x = 5,442,785,239.05
  5. Step 5: Solve for x
    x = 5,442,785,239.05/82,049.39
  6. Step 6: Final answer
    x = 66,335.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.