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Finding the Fourth Proportional to 38,154.78, 52,656.92 and 22,238.89

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Solution

The fourth proportional to 38,154.78, 52,656.92 and 22,238.89 is: 30,691.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,154.78 : 52,656.92 = 22,238.89 : x
  2. Step 2: Convert to fraction form
    38,154.78/52,656.92 = 22,238.89/x
  3. Step 3: Cross multiply
    38,154.78x = 52,656.92 × 22,238.89
  4. Step 4: Simplify right side
    38,154.78x = 1,171,031,188.33
  5. Step 5: Solve for x
    x = 1,171,031,188.33/38,154.78
  6. Step 6: Final answer
    x = 30,691.60

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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.