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Finding the Fourth Proportional to 38,168.38, 52,678.66 and 21,178.09

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Solution

The fourth proportional to 38,168.38, 52,678.66 and 21,178.09 is: 29,229.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,168.38 : 52,678.66 = 21,178.09 : x
  2. Step 2: Convert to fraction form
    38,168.38/52,678.66 = 21,178.09/x
  3. Step 3: Cross multiply
    38,168.38x = 52,678.66 × 21,178.09
  4. Step 4: Simplify right side
    38,168.38x = 1,115,633,323.81
  5. Step 5: Solve for x
    x = 1,115,633,323.81/38,168.38
  6. Step 6: Final answer
    x = 29,229.26

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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.