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Finding the Fourth Proportional to 39,441, 59,170.14 and 14,817

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Solution

The fourth proportional to 39,441, 59,170.14 and 14,817 is: 22,228.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,441 : 59,170.14 = 14,817 : x
  2. Step 2: Convert to fraction form
    39,441/59,170.14 = 14,817/x
  3. Step 3: Cross multiply
    39,441x = 59,170.14 × 14,817
  4. Step 4: Simplify right side
    39,441x = 876,723,964.38
  5. Step 5: Solve for x
    x = 876,723,964.38/39,441
  6. Step 6: Final answer
    x = 22,228.75

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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.