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Finding the Fourth Proportional to 31,170, 42,997.28 and 20,399.92

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Solution

The fourth proportional to 31,170, 42,997.28 and 20,399.92 is: 28,140.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,170 : 42,997.28 = 20,399.92 : x
  2. Step 2: Convert to fraction form
    31,170/42,997.28 = 20,399.92/x
  3. Step 3: Cross multiply
    31,170x = 42,997.28 × 20,399.92
  4. Step 4: Simplify right side
    31,170x = 877,141,072.22
  5. Step 5: Solve for x
    x = 877,141,072.22/31,170
  6. Step 6: Final answer
    x = 28,140.55

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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.