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Finding the Fourth Proportional to 31,700.55, 47,516.50 and 20,615.19

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Solution

The fourth proportional to 31,700.55, 47,516.50 and 20,615.19 is: 30,900.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,700.55 : 47,516.50 = 20,615.19 : x
  2. Step 2: Convert to fraction form
    31,700.55/47,516.50 = 20,615.19/x
  3. Step 3: Cross multiply
    31,700.55x = 47,516.50 × 20,615.19
  4. Step 4: Simplify right side
    31,700.55x = 979,561,879.59
  5. Step 5: Solve for x
    x = 979,561,879.59/31,700.55
  6. Step 6: Final answer
    x = 30,900.47

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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.