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Finding the Fourth Proportional to 65,033.32, 89,745.42 and 35,225.32

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Solution

The fourth proportional to 65,033.32, 89,745.42 and 35,225.32 is: 48,610.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,033.32 : 89,745.42 = 35,225.32 : x
  2. Step 2: Convert to fraction form
    65,033.32/89,745.42 = 35,225.32/x
  3. Step 3: Cross multiply
    65,033.32x = 89,745.42 × 35,225.32
  4. Step 4: Simplify right side
    65,033.32x = 3,161,311,138.03
  5. Step 5: Solve for x
    x = 3,161,311,138.03/65,033.32
  6. Step 6: Final answer
    x = 48,610.64

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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.