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Finding the Fourth Proportional to 83,891.97, 115,773.66 and 48,088.76

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Solution

The fourth proportional to 83,891.97, 115,773.66 and 48,088.76 is: 66,364.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,891.97 : 115,773.66 = 48,088.76 : x
  2. Step 2: Convert to fraction form
    83,891.97/115,773.66 = 48,088.76/x
  3. Step 3: Cross multiply
    83,891.97x = 115,773.66 × 48,088.76
  4. Step 4: Simplify right side
    83,891.97x = 5,567,411,171.19
  5. Step 5: Solve for x
    x = 5,567,411,171.19/83,891.97
  6. Step 6: Final answer
    x = 66,364.05

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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.