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Finding the Fourth Proportional to 67,290.24, 100,945.44 and 32,223.36

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Solution

The fourth proportional to 67,290.24, 100,945.44 and 32,223.36 is: 48,339.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,290.24 : 100,945.44 = 32,223.36 : x
  2. Step 2: Convert to fraction form
    67,290.24/100,945.44 = 32,223.36/x
  3. Step 3: Cross multiply
    67,290.24x = 100,945.44 × 32,223.36
  4. Step 4: Simplify right side
    67,290.24x = 3,252,801,253.48
  5. Step 5: Solve for x
    x = 3,252,801,253.48/67,290.24
  6. Step 6: Final answer
    x = 48,339.87

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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.