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Finding the Fourth Proportional to 24,678, 37,020.85 and 8,034.10

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Solution

The fourth proportional to 24,678, 37,020.85 and 8,034.10 is: 12,052.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,678 : 37,020.85 = 8,034.10 : x
  2. Step 2: Convert to fraction form
    24,678/37,020.85 = 8,034.10/x
  3. Step 3: Cross multiply
    24,678x = 37,020.85 × 8,034.10
  4. Step 4: Simplify right side
    24,678x = 297,429,306.59
  5. Step 5: Solve for x
    x = 297,429,306.59/24,678
  6. Step 6: Final answer
    x = 12,052.41

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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.