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Finding the Fourth Proportional to 80,424, 110,984.88 and 48,586.92

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Solution

The fourth proportional to 80,424, 110,984.88 and 48,586.92 is: 67,049.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,424 : 110,984.88 = 48,586.92 : x
  2. Step 2: Convert to fraction form
    80,424/110,984.88 = 48,586.92/x
  3. Step 3: Cross multiply
    80,424x = 110,984.88 × 48,586.92
  4. Step 4: Simplify right side
    80,424x = 5,392,413,485.77
  5. Step 5: Solve for x
    x = 5,392,413,485.77/80,424
  6. Step 6: Final answer
    x = 67,049.80

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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.