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Finding the Fourth Proportional to 65,679.36, 90,602.49 and 40,198.07

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Solution

The fourth proportional to 65,679.36, 90,602.49 and 40,198.07 is: 55,451.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,679.36 : 90,602.49 = 40,198.07 : x
  2. Step 2: Convert to fraction form
    65,679.36/90,602.49 = 40,198.07/x
  3. Step 3: Cross multiply
    65,679.36x = 90,602.49 × 40,198.07
  4. Step 4: Simplify right side
    65,679.36x = 3,642,045,034.20
  5. Step 5: Solve for x
    x = 3,642,045,034.20/65,679.36
  6. Step 6: Final answer
    x = 55,451.90

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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.