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Finding the Fourth Proportional to 31,901.74, 47,854.41 and 12,181.87

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Solution

The fourth proportional to 31,901.74, 47,854.41 and 12,181.87 is: 18,273.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,901.74 : 47,854.41 = 12,181.87 : x
  2. Step 2: Convert to fraction form
    31,901.74/47,854.41 = 12,181.87/x
  3. Step 3: Cross multiply
    31,901.74x = 47,854.41 × 12,181.87
  4. Step 4: Simplify right side
    31,901.74x = 582,956,201.55
  5. Step 5: Solve for x
    x = 582,956,201.55/31,901.74
  6. Step 6: Final answer
    x = 18,273.49

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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.