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Finding the Fourth Proportional to 37,882.50, 52,268.76 and 24,450.90

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Solution

The fourth proportional to 37,882.50, 52,268.76 and 24,450.90 is: 33,736.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,882.50 : 52,268.76 = 24,450.90 : x
  2. Step 2: Convert to fraction form
    37,882.50/52,268.76 = 24,450.90/x
  3. Step 3: Cross multiply
    37,882.50x = 52,268.76 × 24,450.90
  4. Step 4: Simplify right side
    37,882.50x = 1,278,018,223.88
  5. Step 5: Solve for x
    x = 1,278,018,223.88/37,882.50
  6. Step 6: Final answer
    x = 33,736.37

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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.