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Finding the Fourth Proportional to 31,904, 47,863.68 and 10,016

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Solution

The fourth proportional to 31,904, 47,863.68 and 10,016 is: 15,026.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,904 : 47,863.68 = 10,016 : x
  2. Step 2: Convert to fraction form
    31,904/47,863.68 = 10,016/x
  3. Step 3: Cross multiply
    31,904x = 47,863.68 × 10,016
  4. Step 4: Simplify right side
    31,904x = 479,402,618.88
  5. Step 5: Solve for x
    x = 479,402,618.88/31,904
  6. Step 6: Final answer
    x = 15,026.41

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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.