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Finding the Fourth Proportional to 38,997.21, 53,816.49 and 24,849.75

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Solution

The fourth proportional to 38,997.21, 53,816.49 and 24,849.75 is: 34,292.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,997.21 : 53,816.49 = 24,849.75 : x
  2. Step 2: Convert to fraction form
    38,997.21/53,816.49 = 24,849.75/x
  3. Step 3: Cross multiply
    38,997.21x = 53,816.49 × 24,849.75
  4. Step 4: Simplify right side
    38,997.21x = 1,337,326,322.38
  5. Step 5: Solve for x
    x = 1,337,326,322.38/38,997.21
  6. Step 6: Final answer
    x = 34,292.87

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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.