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Finding the Fourth Proportional to 38,297, 52,849.96 and 22,390.22

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Solution

The fourth proportional to 38,297, 52,849.96 and 22,390.22 is: 30,898.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,297 : 52,849.96 = 22,390.22 : x
  2. Step 2: Convert to fraction form
    38,297/52,849.96 = 22,390.22/x
  3. Step 3: Cross multiply
    38,297x = 52,849.96 × 22,390.22
  4. Step 4: Simplify right side
    38,297x = 1,183,322,231.39
  5. Step 5: Solve for x
    x = 1,183,322,231.39/38,297
  6. Step 6: Final answer
    x = 30,898.56

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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.