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Finding the Fourth Proportional to 38,464.44, 57,698.76 and 12,167.22

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Solution

The fourth proportional to 38,464.44, 57,698.76 and 12,167.22 is: 18,251.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,464.44 : 57,698.76 = 12,167.22 : x
  2. Step 2: Convert to fraction form
    38,464.44/57,698.76 = 12,167.22/x
  3. Step 3: Cross multiply
    38,464.44x = 57,698.76 × 12,167.22
  4. Step 4: Simplify right side
    38,464.44x = 702,033,506.65
  5. Step 5: Solve for x
    x = 702,033,506.65/38,464.44
  6. Step 6: Final answer
    x = 18,251.49

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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.