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Finding the Fourth Proportional to 27,006.40, 40,423.20 and 24,932.80

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Solution

The fourth proportional to 27,006.40, 40,423.20 and 24,932.80 is: 37,319.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,006.40 : 40,423.20 = 24,932.80 : x
  2. Step 2: Convert to fraction form
    27,006.40/40,423.20 = 24,932.80/x
  3. Step 3: Cross multiply
    27,006.40x = 40,423.20 × 24,932.80
  4. Step 4: Simplify right side
    27,006.40x = 1,007,863,560.96
  5. Step 5: Solve for x
    x = 1,007,863,560.96/27,006.40
  6. Step 6: Final answer
    x = 37,319.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.