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Finding the Fourth Proportional to 47,951.96, 71,928.16 and 14,671.97

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Solution

The fourth proportional to 47,951.96, 71,928.16 and 14,671.97 is: 22,008.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,951.96 : 71,928.16 = 14,671.97 : x
  2. Step 2: Convert to fraction form
    47,951.96/71,928.16 = 14,671.97/x
  3. Step 3: Cross multiply
    47,951.96x = 71,928.16 × 14,671.97
  4. Step 4: Simplify right side
    47,951.96x = 1,055,327,535.94
  5. Step 5: Solve for x
    x = 1,055,327,535.94/47,951.96
  6. Step 6: Final answer
    x = 22,008.02

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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.