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Finding the Fourth Proportional to 83,891.70, 115,773.29 and 48,088.48

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Solution

The fourth proportional to 83,891.70, 115,773.29 and 48,088.48 is: 66,363.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,891.70 : 115,773.29 = 48,088.48 : x
  2. Step 2: Convert to fraction form
    83,891.70/115,773.29 = 48,088.48/x
  3. Step 3: Cross multiply
    83,891.70x = 115,773.29 × 48,088.48
  4. Step 4: Simplify right side
    83,891.70x = 5,567,361,540.70
  5. Step 5: Solve for x
    x = 5,567,361,540.70/83,891.70
  6. Step 6: Final answer
    x = 66,363.68

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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.