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Finding the Fourth Proportional to 38,754.09, 53,458.05 and 24,408.30

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Solution

The fourth proportional to 38,754.09, 53,458.05 and 24,408.30 is: 33,669.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,754.09 : 53,458.05 = 24,408.30 : x
  2. Step 2: Convert to fraction form
    38,754.09/53,458.05 = 24,408.30/x
  3. Step 3: Cross multiply
    38,754.09x = 53,458.05 × 24,408.30
  4. Step 4: Simplify right side
    38,754.09x = 1,304,820,121.82
  5. Step 5: Solve for x
    x = 1,304,820,121.82/38,754.09
  6. Step 6: Final answer
    x = 33,669.22

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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.