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Finding the Fourth Proportional to 81,714, 122,567.61 and 28,418.04

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Solution

The fourth proportional to 81,714, 122,567.61 and 28,418.04 is: 42,625.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,714 : 122,567.61 = 28,418.04 : x
  2. Step 2: Convert to fraction form
    81,714/122,567.61 = 28,418.04/x
  3. Step 3: Cross multiply
    81,714x = 122,567.61 × 28,418.04
  4. Step 4: Simplify right side
    81,714x = 3,483,131,243.68
  5. Step 5: Solve for x
    x = 3,483,131,243.68/81,714
  6. Step 6: Final answer
    x = 42,625.88

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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.