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Finding the Fourth Proportional to 71,917.30, 107,912.34 and 48,494.50

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Solution

The fourth proportional to 71,917.30, 107,912.34 and 48,494.50 is: 72,766.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,917.30 : 107,912.34 = 48,494.50 : x
  2. Step 2: Convert to fraction form
    71,917.30/107,912.34 = 48,494.50/x
  3. Step 3: Cross multiply
    71,917.30x = 107,912.34 × 48,494.50
  4. Step 4: Simplify right side
    71,917.30x = 5,233,154,972.13
  5. Step 5: Solve for x
    x = 5,233,154,972.13/71,917.30
  6. Step 6: Final answer
    x = 72,766.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.