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Finding the Fourth Proportional to 78,143.24, 107,843.46 and 44,155.64

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Solution

The fourth proportional to 78,143.24, 107,843.46 and 44,155.64 is: 60,938.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,143.24 : 107,843.46 = 44,155.64 : x
  2. Step 2: Convert to fraction form
    78,143.24/107,843.46 = 44,155.64/x
  3. Step 3: Cross multiply
    78,143.24x = 107,843.46 × 44,155.64
  4. Step 4: Simplify right side
    78,143.24x = 4,761,896,996.11
  5. Step 5: Solve for x
    x = 4,761,896,996.11/78,143.24
  6. Step 6: Final answer
    x = 60,938.05

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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.