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Finding the Fourth Proportional to 31,908, 47,883.87 and 11,131.50

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Solution

The fourth proportional to 31,908, 47,883.87 and 11,131.50 is: 16,704.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,908 : 47,883.87 = 11,131.50 : x
  2. Step 2: Convert to fraction form
    31,908/47,883.87 = 11,131.50/x
  3. Step 3: Cross multiply
    31,908x = 47,883.87 × 11,131.50
  4. Step 4: Simplify right side
    31,908x = 533,019,298.91
  5. Step 5: Solve for x
    x = 533,019,298.91/31,908
  6. Step 6: Final answer
    x = 16,704.88

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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.