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Finding the Fourth Proportional to 62,471, 93,716.24 and 20,341.13

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Solution

The fourth proportional to 62,471, 93,716.24 and 20,341.13 is: 30,514.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,471 : 93,716.24 = 20,341.13 : x
  2. Step 2: Convert to fraction form
    62,471/93,716.24 = 20,341.13/x
  3. Step 3: Cross multiply
    62,471x = 93,716.24 × 20,341.13
  4. Step 4: Simplify right side
    62,471x = 1,906,294,220.95
  5. Step 5: Solve for x
    x = 1,906,294,220.95/62,471
  6. Step 6: Final answer
    x = 30,514.87

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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.