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Finding the Fourth Proportional to 31,772.87, 43,851.81 and 17,630.27

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Solution

The fourth proportional to 31,772.87, 43,851.81 and 17,630.27 is: 24,332.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,772.87 : 43,851.81 = 17,630.27 : x
  2. Step 2: Convert to fraction form
    31,772.87/43,851.81 = 17,630.27/x
  3. Step 3: Cross multiply
    31,772.87x = 43,851.81 × 17,630.27
  4. Step 4: Simplify right side
    31,772.87x = 773,119,031.03
  5. Step 5: Solve for x
    x = 773,119,031.03/31,772.87
  6. Step 6: Final answer
    x = 24,332.68

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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.