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Finding the Fourth Proportional to 27,658.10, 41,377.80 and 24,000.95

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Solution

The fourth proportional to 27,658.10, 41,377.80 and 24,000.95 is: 35,906.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,658.10 : 41,377.80 = 24,000.95 : x
  2. Step 2: Convert to fraction form
    27,658.10/41,377.80 = 24,000.95/x
  3. Step 3: Cross multiply
    27,658.10x = 41,377.80 × 24,000.95
  4. Step 4: Simplify right side
    27,658.10x = 993,106,508.91
  5. Step 5: Solve for x
    x = 993,106,508.91/27,658.10
  6. Step 6: Final answer
    x = 35,906.53

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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.