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Finding the Fourth Proportional to 39,524.72, 54,537.76 and 22,529

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Solution

The fourth proportional to 39,524.72, 54,537.76 and 22,529 is: 31,086.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,524.72 : 54,537.76 = 22,529 : x
  2. Step 2: Convert to fraction form
    39,524.72/54,537.76 = 22,529/x
  3. Step 3: Cross multiply
    39,524.72x = 54,537.76 × 22,529
  4. Step 4: Simplify right side
    39,524.72x = 1,228,681,195.04
  5. Step 5: Solve for x
    x = 1,228,681,195.04/39,524.72
  6. Step 6: Final answer
    x = 31,086.40

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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.