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Finding the Fourth Proportional to 31,888.26, 47,815.02 and 20,642.09

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Solution

The fourth proportional to 31,888.26, 47,815.02 and 20,642.09 is: 30,951.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,888.26 : 47,815.02 = 20,642.09 : x
  2. Step 2: Convert to fraction form
    31,888.26/47,815.02 = 20,642.09/x
  3. Step 3: Cross multiply
    31,888.26x = 47,815.02 × 20,642.09
  4. Step 4: Simplify right side
    31,888.26x = 987,001,707.12
  5. Step 5: Solve for x
    x = 987,001,707.12/31,888.26
  6. Step 6: Final answer
    x = 30,951.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.