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Finding the Fourth Proportional to 83,961.32, 115,879.22 and 63,785

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Solution

The fourth proportional to 83,961.32, 115,879.22 and 63,785 is: 88,032.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,961.32 : 115,879.22 = 63,785 : x
  2. Step 2: Convert to fraction form
    83,961.32/115,879.22 = 63,785/x
  3. Step 3: Cross multiply
    83,961.32x = 115,879.22 × 63,785
  4. Step 4: Simplify right side
    83,961.32x = 7,391,356,047.70
  5. Step 5: Solve for x
    x = 7,391,356,047.70/83,961.32
  6. Step 6: Final answer
    x = 88,032.87

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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.