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Finding the Fourth Proportional to 24,689.69, 37,034.97 and 8,049.66

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Solution

The fourth proportional to 24,689.69, 37,034.97 and 8,049.66 is: 12,074.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,689.69 : 37,034.97 = 8,049.66 : x
  2. Step 2: Convert to fraction form
    24,689.69/37,034.97 = 8,049.66/x
  3. Step 3: Cross multiply
    24,689.69x = 37,034.97 × 8,049.66
  4. Step 4: Simplify right side
    24,689.69x = 298,118,916.61
  5. Step 5: Solve for x
    x = 298,118,916.61/24,689.69
  6. Step 6: Final answer
    x = 12,074.63

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Why These Related Problems?

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