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Finding the Fourth Proportional to 41,308.32, 57,006 and 22,445.76

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Solution

The fourth proportional to 41,308.32, 57,006 and 22,445.76 is: 30,975.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,308.32 : 57,006 = 22,445.76 : x
  2. Step 2: Convert to fraction form
    41,308.32/57,006 = 22,445.76/x
  3. Step 3: Cross multiply
    41,308.32x = 57,006 × 22,445.76
  4. Step 4: Simplify right side
    41,308.32x = 1,279,542,994.56
  5. Step 5: Solve for x
    x = 1,279,542,994.56/41,308.32
  6. Step 6: Final answer
    x = 30,975.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.