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Finding the Fourth Proportional to 83,044.67, 114,601.88 and 49,509.95

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Solution

The fourth proportional to 83,044.67, 114,601.88 and 49,509.95 is: 68,323.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,044.67 : 114,601.88 = 49,509.95 : x
  2. Step 2: Convert to fraction form
    83,044.67/114,601.88 = 49,509.95/x
  3. Step 3: Cross multiply
    83,044.67x = 114,601.88 × 49,509.95
  4. Step 4: Simplify right side
    83,044.67x = 5,673,933,101.16
  5. Step 5: Solve for x
    x = 5,673,933,101.16/83,044.67
  6. Step 6: Final answer
    x = 68,323.87

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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.