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Finding the Fourth Proportional to 78,039.73, 107,695.19 and 44,049.65

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Solution

The fourth proportional to 78,039.73, 107,695.19 and 44,049.65 is: 60,788.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,039.73 : 107,695.19 = 44,049.65 : x
  2. Step 2: Convert to fraction form
    78,039.73/107,695.19 = 44,049.65/x
  3. Step 3: Cross multiply
    78,039.73x = 107,695.19 × 44,049.65
  4. Step 4: Simplify right side
    78,039.73x = 4,743,935,426.18
  5. Step 5: Solve for x
    x = 4,743,935,426.18/78,039.73
  6. Step 6: Final answer
    x = 60,788.72

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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.