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Finding the Fourth Proportional to 83,885.79, 115,767.18 and 48,081.77

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Solution

The fourth proportional to 83,885.79, 115,767.18 and 48,081.77 is: 66,355.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,885.79 : 115,767.18 = 48,081.77 : x
  2. Step 2: Convert to fraction form
    83,885.79/115,767.18 = 48,081.77/x
  3. Step 3: Cross multiply
    83,885.79x = 115,767.18 × 48,081.77
  4. Step 4: Simplify right side
    83,885.79x = 5,566,290,343.47
  5. Step 5: Solve for x
    x = 5,566,290,343.47/83,885.79
  6. Step 6: Final answer
    x = 66,355.58

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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.