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Finding the Fourth Proportional to 38,406.42, 57,575.07 and 19,882.26

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Solution

The fourth proportional to 38,406.42, 57,575.07 and 19,882.26 is: 29,805.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,406.42 : 57,575.07 = 19,882.26 : x
  2. Step 2: Convert to fraction form
    38,406.42/57,575.07 = 19,882.26/x
  3. Step 3: Cross multiply
    38,406.42x = 57,575.07 × 19,882.26
  4. Step 4: Simplify right side
    38,406.42x = 1,144,722,511.26
  5. Step 5: Solve for x
    x = 1,144,722,511.26/38,406.42
  6. Step 6: Final answer
    x = 29,805.50

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Why These Related Problems?

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