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Finding the Fourth Proportional to 38,992.38, 53,808.13 and 21,997.16

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Solution

The fourth proportional to 38,992.38, 53,808.13 and 21,997.16 is: 30,355.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,992.38 : 53,808.13 = 21,997.16 : x
  2. Step 2: Convert to fraction form
    38,992.38/53,808.13 = 21,997.16/x
  3. Step 3: Cross multiply
    38,992.38x = 53,808.13 × 21,997.16
  4. Step 4: Simplify right side
    38,992.38x = 1,183,626,044.91
  5. Step 5: Solve for x
    x = 1,183,626,044.91/38,992.38
  6. Step 6: Final answer
    x = 30,355.32

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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.