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Finding the Fourth Proportional to 37,758.30, 52,102.11 and 30,201.90

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Solution

The fourth proportional to 37,758.30, 52,102.11 and 30,201.90 is: 41,675.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,758.30 : 52,102.11 = 30,201.90 : x
  2. Step 2: Convert to fraction form
    37,758.30/52,102.11 = 30,201.90/x
  3. Step 3: Cross multiply
    37,758.30x = 52,102.11 × 30,201.90
  4. Step 4: Simplify right side
    37,758.30x = 1,573,582,716.01
  5. Step 5: Solve for x
    x = 1,573,582,716.01/37,758.30
  6. Step 6: Final answer
    x = 41,675.15

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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.