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Finding the Fourth Proportional to 39,217, 54,119.46 and 21,553

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Solution

The fourth proportional to 39,217, 54,119.46 and 21,553 is: 29,743.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,217 : 54,119.46 = 21,553 : x
  2. Step 2: Convert to fraction form
    39,217/54,119.46 = 21,553/x
  3. Step 3: Cross multiply
    39,217x = 54,119.46 × 21,553
  4. Step 4: Simplify right side
    39,217x = 1,166,436,721.38
  5. Step 5: Solve for x
    x = 1,166,436,721.38/39,217
  6. Step 6: Final answer
    x = 29,743.14

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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.