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Finding the Fourth Proportional to 65,633.76, 98,450.64 and 36,238.50

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Solution

The fourth proportional to 65,633.76, 98,450.64 and 36,238.50 is: 54,357.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,633.76 : 98,450.64 = 36,238.50 : x
  2. Step 2: Convert to fraction form
    65,633.76/98,450.64 = 36,238.50/x
  3. Step 3: Cross multiply
    65,633.76x = 98,450.64 × 36,238.50
  4. Step 4: Simplify right side
    65,633.76x = 3,567,703,517.64
  5. Step 5: Solve for x
    x = 3,567,703,517.64/65,633.76
  6. Step 6: Final answer
    x = 54,357.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.