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Finding the Fourth Proportional to 31,163.96, 42,973.52 and 20,540

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Solution

The fourth proportional to 31,163.96, 42,973.52 and 20,540 is: 28,323.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,163.96 : 42,973.52 = 20,540 : x
  2. Step 2: Convert to fraction form
    31,163.96/42,973.52 = 20,540/x
  3. Step 3: Cross multiply
    31,163.96x = 42,973.52 × 20,540
  4. Step 4: Simplify right side
    31,163.96x = 882,676,100.80
  5. Step 5: Solve for x
    x = 882,676,100.80/31,163.96
  6. Step 6: Final answer
    x = 28,323.62

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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.