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Finding the Fourth Proportional to 37,002.66, 51,080.31 and 23,591.90

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Solution

The fourth proportional to 37,002.66, 51,080.31 and 23,591.90 is: 32,567.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,002.66 : 51,080.31 = 23,591.90 : x
  2. Step 2: Convert to fraction form
    37,002.66/51,080.31 = 23,591.90/x
  3. Step 3: Cross multiply
    37,002.66x = 51,080.31 × 23,591.90
  4. Step 4: Simplify right side
    37,002.66x = 1,205,081,310.09
  5. Step 5: Solve for x
    x = 1,205,081,310.09/37,002.66
  6. Step 6: Final answer
    x = 32,567.42

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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.