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Finding the Fourth Proportional to 33,243.40, 49,842.78 and 15,697

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Solution

The fourth proportional to 33,243.40, 49,842.78 and 15,697 is: 23,534.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,243.40 : 49,842.78 = 15,697 : x
  2. Step 2: Convert to fraction form
    33,243.40/49,842.78 = 15,697/x
  3. Step 3: Cross multiply
    33,243.40x = 49,842.78 × 15,697
  4. Step 4: Simplify right side
    33,243.40x = 782,382,117.66
  5. Step 5: Solve for x
    x = 782,382,117.66/33,243.40
  6. Step 6: Final answer
    x = 23,534.96

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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.