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Finding the Fourth Proportional to 41,889, 62,833.50 and 10,724.25

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Solution

The fourth proportional to 41,889, 62,833.50 and 10,724.25 is: 16,086.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,889 : 62,833.50 = 10,724.25 : x
  2. Step 2: Convert to fraction form
    41,889/62,833.50 = 10,724.25/x
  3. Step 3: Cross multiply
    41,889x = 62,833.50 × 10,724.25
  4. Step 4: Simplify right side
    41,889x = 673,842,162.38
  5. Step 5: Solve for x
    x = 673,842,162.38/41,889
  6. Step 6: Final answer
    x = 16,086.38

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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.