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Finding the Fourth Proportional to 39,474, 59,198.16 and 13,171.68

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Solution

The fourth proportional to 39,474, 59,198.16 and 13,171.68 is: 19,753.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,474 : 59,198.16 = 13,171.68 : x
  2. Step 2: Convert to fraction form
    39,474/59,198.16 = 13,171.68/x
  3. Step 3: Cross multiply
    39,474x = 59,198.16 × 13,171.68
  4. Step 4: Simplify right side
    39,474x = 779,739,220.11
  5. Step 5: Solve for x
    x = 779,739,220.11/39,474
  6. Step 6: Final answer
    x = 19,753.24

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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.