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Finding the Fourth Proportional to 31,309, 43,171.64 and 24,122.88

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Solution

The fourth proportional to 31,309, 43,171.64 and 24,122.88 is: 33,262.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,309 : 43,171.64 = 24,122.88 : x
  2. Step 2: Convert to fraction form
    31,309/43,171.64 = 24,122.88/x
  3. Step 3: Cross multiply
    31,309x = 43,171.64 × 24,122.88
  4. Step 4: Simplify right side
    31,309x = 1,041,424,291.12
  5. Step 5: Solve for x
    x = 1,041,424,291.12/31,309
  6. Step 6: Final answer
    x = 33,262.78

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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.