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Finding the Fourth Proportional to 38,365.32, 52,944.13 and 22,452.81

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Solution

The fourth proportional to 38,365.32, 52,944.13 and 22,452.81 is: 30,984.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,365.32 : 52,944.13 = 22,452.81 : x
  2. Step 2: Convert to fraction form
    38,365.32/52,944.13 = 22,452.81/x
  3. Step 3: Cross multiply
    38,365.32x = 52,944.13 × 22,452.81
  4. Step 4: Simplify right side
    38,365.32x = 1,188,744,491.51
  5. Step 5: Solve for x
    x = 1,188,744,491.51/38,365.32
  6. Step 6: Final answer
    x = 30,984.87

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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.