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Finding the Fourth Proportional to 83,873.91, 115,749.17 and 48,070.83

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Solution

The fourth proportional to 83,873.91, 115,749.17 and 48,070.83 is: 66,339.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,873.91 : 115,749.17 = 48,070.83 : x
  2. Step 2: Convert to fraction form
    83,873.91/115,749.17 = 48,070.83/x
  3. Step 3: Cross multiply
    83,873.91x = 115,749.17 × 48,070.83
  4. Step 4: Simplify right side
    83,873.91x = 5,564,158,273.85
  5. Step 5: Solve for x
    x = 5,564,158,273.85/83,873.91
  6. Step 6: Final answer
    x = 66,339.56

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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.