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Finding the Fourth Proportional to 31,843.06, 47,746.13 and 13,101.92

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Solution

The fourth proportional to 31,843.06, 47,746.13 and 13,101.92 is: 19,645.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,843.06 : 47,746.13 = 13,101.92 : x
  2. Step 2: Convert to fraction form
    31,843.06/47,746.13 = 13,101.92/x
  3. Step 3: Cross multiply
    31,843.06x = 47,746.13 × 13,101.92
  4. Step 4: Simplify right side
    31,843.06x = 625,565,850.38
  5. Step 5: Solve for x
    x = 625,565,850.38/31,843.06
  6. Step 6: Final answer
    x = 19,645.28

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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.