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Finding the Fourth Proportional to 38,504.20, 57,713.10 and 21,872.20

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Solution

The fourth proportional to 38,504.20, 57,713.10 and 21,872.20 is: 32,783.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,504.20 : 57,713.10 = 21,872.20 : x
  2. Step 2: Convert to fraction form
    38,504.20/57,713.10 = 21,872.20/x
  3. Step 3: Cross multiply
    38,504.20x = 57,713.10 × 21,872.20
  4. Step 4: Simplify right side
    38,504.20x = 1,262,312,465.82
  5. Step 5: Solve for x
    x = 1,262,312,465.82/38,504.20
  6. Step 6: Final answer
    x = 32,783.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.