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Finding the Fourth Proportional to 39,229.50, 54,144 and 22,462.50

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Solution

The fourth proportional to 39,229.50, 54,144 and 22,462.50 is: 31,002.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,229.50 : 54,144 = 22,462.50 : x
  2. Step 2: Convert to fraction form
    39,229.50/54,144 = 22,462.50/x
  3. Step 3: Cross multiply
    39,229.50x = 54,144 × 22,462.50
  4. Step 4: Simplify right side
    39,229.50x = 1,216,209,600
  5. Step 5: Solve for x
    x = 1,216,209,600/39,229.50
  6. Step 6: Final answer
    x = 31,002.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.