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Finding the Fourth Proportional to 83,874.85, 115,750.48 and 48,071.77

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Solution

The fourth proportional to 83,874.85, 115,750.48 and 48,071.77 is: 66,340.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,874.85 : 115,750.48 = 48,071.77 : x
  2. Step 2: Convert to fraction form
    83,874.85/115,750.48 = 48,071.77/x
  3. Step 3: Cross multiply
    83,874.85x = 115,750.48 × 48,071.77
  4. Step 4: Simplify right side
    83,874.85x = 5,564,330,451.95
  5. Step 5: Solve for x
    x = 5,564,330,451.95/83,874.85
  6. Step 6: Final answer
    x = 66,340.87

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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.