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Finding the Fourth Proportional to 31,864.64, 47,819.88 and 11,876.88

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Solution

The fourth proportional to 31,864.64, 47,819.88 and 11,876.88 is: 17,823.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,864.64 : 47,819.88 = 11,876.88 : x
  2. Step 2: Convert to fraction form
    31,864.64/47,819.88 = 11,876.88/x
  3. Step 3: Cross multiply
    31,864.64x = 47,819.88 × 11,876.88
  4. Step 4: Simplify right side
    31,864.64x = 567,950,976.37
  5. Step 5: Solve for x
    x = 567,950,976.37/31,864.64
  6. Step 6: Final answer
    x = 17,823.86

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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.