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Finding the Fourth Proportional to 31,182.64, 43,003.50 and 24,377.56

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Solution

The fourth proportional to 31,182.64, 43,003.50 and 24,377.56 is: 33,618.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,182.64 : 43,003.50 = 24,377.56 : x
  2. Step 2: Convert to fraction form
    31,182.64/43,003.50 = 24,377.56/x
  3. Step 3: Cross multiply
    31,182.64x = 43,003.50 × 24,377.56
  4. Step 4: Simplify right side
    31,182.64x = 1,048,320,401.46
  5. Step 5: Solve for x
    x = 1,048,320,401.46/31,182.64
  6. Step 6: Final answer
    x = 33,618.72

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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.