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Finding the Fourth Proportional to 38,204.17, 52,720.92 and 21,207.42

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Solution

The fourth proportional to 38,204.17, 52,720.92 and 21,207.42 is: 29,265.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,204.17 : 52,720.92 = 21,207.42 : x
  2. Step 2: Convert to fraction form
    38,204.17/52,720.92 = 21,207.42/x
  3. Step 3: Cross multiply
    38,204.17x = 52,720.92 × 21,207.42
  4. Step 4: Simplify right side
    38,204.17x = 1,118,074,693.23
  5. Step 5: Solve for x
    x = 1,118,074,693.23/38,204.17
  6. Step 6: Final answer
    x = 29,265.78

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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.