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Finding the Fourth Proportional to 39,843.24, 59,752.98 and 13,542

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Solution

The fourth proportional to 39,843.24, 59,752.98 and 13,542 is: 20,308.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,843.24 : 59,752.98 = 13,542 : x
  2. Step 2: Convert to fraction form
    39,843.24/59,752.98 = 13,542/x
  3. Step 3: Cross multiply
    39,843.24x = 59,752.98 × 13,542
  4. Step 4: Simplify right side
    39,843.24x = 809,174,855.16
  5. Step 5: Solve for x
    x = 809,174,855.16/39,843.24
  6. Step 6: Final answer
    x = 20,308.96

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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.