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Finding the Fourth Proportional to 24,678.38, 37,021.41 and 8,034.48

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Solution

The fourth proportional to 24,678.38, 37,021.41 and 8,034.48 is: 12,052.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,678.38 : 37,021.41 = 8,034.48 : x
  2. Step 2: Convert to fraction form
    24,678.38/37,021.41 = 8,034.48/x
  3. Step 3: Cross multiply
    24,678.38x = 37,021.41 × 8,034.48
  4. Step 4: Simplify right side
    24,678.38x = 297,447,778.22
  5. Step 5: Solve for x
    x = 297,447,778.22/24,678.38
  6. Step 6: Final answer
    x = 12,052.97

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1.5x scale

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.