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Finding the Fourth Proportional to 50,242.44, 75,324.78 and 22,521

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Solution

The fourth proportional to 50,242.44, 75,324.78 and 22,521 is: 33,764.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,242.44 : 75,324.78 = 22,521 : x
  2. Step 2: Convert to fraction form
    50,242.44/75,324.78 = 22,521/x
  3. Step 3: Cross multiply
    50,242.44x = 75,324.78 × 22,521
  4. Step 4: Simplify right side
    50,242.44x = 1,696,389,370.38
  5. Step 5: Solve for x
    x = 1,696,389,370.38/50,242.44
  6. Step 6: Final answer
    x = 33,764.07

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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.