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Finding the Fourth Proportional to 71,916.30, 107,910.84 and 48,493.50

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Solution

The fourth proportional to 71,916.30, 107,910.84 and 48,493.50 is: 72,764.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,916.30 : 107,910.84 = 48,493.50 : x
  2. Step 2: Convert to fraction form
    71,916.30/107,910.84 = 48,493.50/x
  3. Step 3: Cross multiply
    71,916.30x = 107,910.84 × 48,493.50
  4. Step 4: Simplify right side
    71,916.30x = 5,232,974,319.54
  5. Step 5: Solve for x
    x = 5,232,974,319.54/71,916.30
  6. Step 6: Final answer
    x = 72,764.79

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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.