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Finding the Fourth Proportional to 38,464.74, 57,700.80 and 12,169.80

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Solution

The fourth proportional to 38,464.74, 57,700.80 and 12,169.80 is: 18,255.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,464.74 : 57,700.80 = 12,169.80 : x
  2. Step 2: Convert to fraction form
    38,464.74/57,700.80 = 12,169.80/x
  3. Step 3: Cross multiply
    38,464.74x = 57,700.80 × 12,169.80
  4. Step 4: Simplify right side
    38,464.74x = 702,207,195.84
  5. Step 5: Solve for x
    x = 702,207,195.84/38,464.74
  6. Step 6: Final answer
    x = 18,255.87

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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.