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Finding the Fourth Proportional to 78,157.65, 107,850.28 and 44,168.74

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Solution

The fourth proportional to 78,157.65, 107,850.28 and 44,168.74 is: 60,948.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,157.65 : 107,850.28 = 44,168.74 : x
  2. Step 2: Convert to fraction form
    78,157.65/107,850.28 = 44,168.74/x
  3. Step 3: Cross multiply
    78,157.65x = 107,850.28 × 44,168.74
  4. Step 4: Simplify right side
    78,157.65x = 4,763,610,976.25
  5. Step 5: Solve for x
    x = 4,763,610,976.25/78,157.65
  6. Step 6: Final answer
    x = 60,948.75

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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.