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Finding the Fourth Proportional to 31,530.91, 43,488.03 and 20,201.46

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Solution

The fourth proportional to 31,530.91, 43,488.03 and 20,201.46 is: 27,862.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,530.91 : 43,488.03 = 20,201.46 : x
  2. Step 2: Convert to fraction form
    31,530.91/43,488.03 = 20,201.46/x
  3. Step 3: Cross multiply
    31,530.91x = 43,488.03 × 20,201.46
  4. Step 4: Simplify right side
    31,530.91x = 878,521,698.52
  5. Step 5: Solve for x
    x = 878,521,698.52/31,530.91
  6. Step 6: Final answer
    x = 27,862.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.