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Finding the Fourth Proportional to 80,182.76, 110,652.52 and 48,353

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Solution

The fourth proportional to 80,182.76, 110,652.52 and 48,353 is: 66,727.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,182.76 : 110,652.52 = 48,353 : x
  2. Step 2: Convert to fraction form
    80,182.76/110,652.52 = 48,353/x
  3. Step 3: Cross multiply
    80,182.76x = 110,652.52 × 48,353
  4. Step 4: Simplify right side
    80,182.76x = 5,350,381,299.56
  5. Step 5: Solve for x
    x = 5,350,381,299.56/80,182.76
  6. Step 6: Final answer
    x = 66,727.33

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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.