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Finding the Fourth Proportional to 78,406.16, 108,202.92 and 44,882.96

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Solution

The fourth proportional to 78,406.16, 108,202.92 and 44,882.96 is: 61,939.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,406.16 : 108,202.92 = 44,882.96 : x
  2. Step 2: Convert to fraction form
    78,406.16/108,202.92 = 44,882.96/x
  3. Step 3: Cross multiply
    78,406.16x = 108,202.92 × 44,882.96
  4. Step 4: Simplify right side
    78,406.16x = 4,856,467,330.24
  5. Step 5: Solve for x
    x = 4,856,467,330.24/78,406.16
  6. Step 6: Final answer
    x = 61,939.87

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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.