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Finding the Fourth Proportional to 38,514.20, 57,779.70 and 21,882.20

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Solution

The fourth proportional to 38,514.20, 57,779.70 and 21,882.20 is: 32,828.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,514.20 : 57,779.70 = 21,882.20 : x
  2. Step 2: Convert to fraction form
    38,514.20/57,779.70 = 21,882.20/x
  3. Step 3: Cross multiply
    38,514.20x = 57,779.70 × 21,882.20
  4. Step 4: Simplify right side
    38,514.20x = 1,264,346,951.34
  5. Step 5: Solve for x
    x = 1,264,346,951.34/38,514.20
  6. Step 6: Final answer
    x = 32,828.07

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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.