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Finding the Fourth Proportional to 30,142.52, 41,594.10 and 17,568.44

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Solution

The fourth proportional to 30,142.52, 41,594.10 and 17,568.44 is: 24,242.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,142.52 : 41,594.10 = 17,568.44 : x
  2. Step 2: Convert to fraction form
    30,142.52/41,594.10 = 17,568.44/x
  3. Step 3: Cross multiply
    30,142.52x = 41,594.10 × 17,568.44
  4. Step 4: Simplify right side
    30,142.52x = 730,743,450.20
  5. Step 5: Solve for x
    x = 730,743,450.20/30,142.52
  6. Step 6: Final answer
    x = 24,242.94

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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.