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Finding the Fourth Proportional to 45,216, 62,398.17 and 25,344

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Solution

The fourth proportional to 45,216, 62,398.17 and 25,344 is: 34,974.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,216 : 62,398.17 = 25,344 : x
  2. Step 2: Convert to fraction form
    45,216/62,398.17 = 25,344/x
  3. Step 3: Cross multiply
    45,216x = 62,398.17 × 25,344
  4. Step 4: Simplify right side
    45,216x = 1,581,419,220.48
  5. Step 5: Solve for x
    x = 1,581,419,220.48/45,216
  6. Step 6: Final answer
    x = 34,974.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.