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Finding the Fourth Proportional to 31,700.93, 47,517.06 and 20,615.57

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Solution

The fourth proportional to 31,700.93, 47,517.06 and 20,615.57 is: 30,901.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,700.93 : 47,517.06 = 20,615.57 : x
  2. Step 2: Convert to fraction form
    31,700.93/47,517.06 = 20,615.57/x
  3. Step 3: Cross multiply
    31,700.93x = 47,517.06 × 20,615.57
  4. Step 4: Simplify right side
    31,700.93x = 979,591,294.54
  5. Step 5: Solve for x
    x = 979,591,294.54/31,700.93
  6. Step 6: Final answer
    x = 30,901.03

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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.