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Finding the Fourth Proportional to 47,873.76, 71,778.24 and 16,692

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Solution

The fourth proportional to 47,873.76, 71,778.24 and 16,692 is: 25,026.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,873.76 : 71,778.24 = 16,692 : x
  2. Step 2: Convert to fraction form
    47,873.76/71,778.24 = 16,692/x
  3. Step 3: Cross multiply
    47,873.76x = 71,778.24 × 16,692
  4. Step 4: Simplify right side
    47,873.76x = 1,198,122,382.08
  5. Step 5: Solve for x
    x = 1,198,122,382.08/47,873.76
  6. Step 6: Final answer
    x = 25,026.70

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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.