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Finding the Fourth Proportional to 41,343.50, 62,015.25 and 12,159.50

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Solution

The fourth proportional to 41,343.50, 62,015.25 and 12,159.50 is: 18,239.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,343.50 : 62,015.25 = 12,159.50 : x
  2. Step 2: Convert to fraction form
    41,343.50/62,015.25 = 12,159.50/x
  3. Step 3: Cross multiply
    41,343.50x = 62,015.25 × 12,159.50
  4. Step 4: Simplify right side
    41,343.50x = 754,074,432.38
  5. Step 5: Solve for x
    x = 754,074,432.38/41,343.50
  6. Step 6: Final answer
    x = 18,239.25

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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.