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Finding the Fourth Proportional to 78,126.56, 107,821.32 and 44,141.32

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Solution

The fourth proportional to 78,126.56, 107,821.32 and 44,141.32 is: 60,918.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,126.56 : 107,821.32 = 44,141.32 : x
  2. Step 2: Convert to fraction form
    78,126.56/107,821.32 = 44,141.32/x
  3. Step 3: Cross multiply
    78,126.56x = 107,821.32 × 44,141.32
  4. Step 4: Simplify right side
    78,126.56x = 4,759,375,388.94
  5. Step 5: Solve for x
    x = 4,759,375,388.94/78,126.56
  6. Step 6: Final answer
    x = 60,918.79

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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.