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Finding the Fourth Proportional to 31,711.76, 47,570.28 and 10,650.80

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Solution

The fourth proportional to 31,711.76, 47,570.28 and 10,650.80 is: 15,977.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,711.76 : 47,570.28 = 10,650.80 : x
  2. Step 2: Convert to fraction form
    31,711.76/47,570.28 = 10,650.80/x
  3. Step 3: Cross multiply
    31,711.76x = 47,570.28 × 10,650.80
  4. Step 4: Simplify right side
    31,711.76x = 506,661,538.22
  5. Step 5: Solve for x
    x = 506,661,538.22/31,711.76
  6. Step 6: Final answer
    x = 15,977.09

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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.