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Finding the Fourth Proportional to 78,034.92, 107,688.12 and 44,050.56

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Solution

The fourth proportional to 78,034.92, 107,688.12 and 44,050.56 is: 60,789.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,034.92 : 107,688.12 = 44,050.56 : x
  2. Step 2: Convert to fraction form
    78,034.92/107,688.12 = 44,050.56/x
  3. Step 3: Cross multiply
    78,034.92x = 107,688.12 × 44,050.56
  4. Step 4: Simplify right side
    78,034.92x = 4,743,721,991.35
  5. Step 5: Solve for x
    x = 4,743,721,991.35/78,034.92
  6. Step 6: Final answer
    x = 60,789.73

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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.