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Finding the Fourth Proportional to 38,442.40, 57,665.40 and 12,149.20

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Solution

The fourth proportional to 38,442.40, 57,665.40 and 12,149.20 is: 18,224.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,442.40 : 57,665.40 = 12,149.20 : x
  2. Step 2: Convert to fraction form
    38,442.40/57,665.40 = 12,149.20/x
  3. Step 3: Cross multiply
    38,442.40x = 57,665.40 × 12,149.20
  4. Step 4: Simplify right side
    38,442.40x = 700,588,477.68
  5. Step 5: Solve for x
    x = 700,588,477.68/38,442.40
  6. Step 6: Final answer
    x = 18,224.37

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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.