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Finding the Fourth Proportional to 65,022.25, 89,738.01 and 36,729.76

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Solution

The fourth proportional to 65,022.25, 89,738.01 and 36,729.76 is: 50,691.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,022.25 : 89,738.01 = 36,729.76 : x
  2. Step 2: Convert to fraction form
    65,022.25/89,738.01 = 36,729.76/x
  3. Step 3: Cross multiply
    65,022.25x = 89,738.01 × 36,729.76
  4. Step 4: Simplify right side
    65,022.25x = 3,296,055,570.18
  5. Step 5: Solve for x
    x = 3,296,055,570.18/65,022.25
  6. Step 6: Final answer
    x = 50,691.20

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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.