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Finding the Fourth Proportional to 65,633.25, 90,573.89 and 35,825.25

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Solution

The fourth proportional to 65,633.25, 90,573.89 and 35,825.25 is: 49,438.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,633.25 : 90,573.89 = 35,825.25 : x
  2. Step 2: Convert to fraction form
    65,633.25/90,573.89 = 35,825.25/x
  3. Step 3: Cross multiply
    65,633.25x = 90,573.89 × 35,825.25
  4. Step 4: Simplify right side
    65,633.25x = 3,244,832,252.72
  5. Step 5: Solve for x
    x = 3,244,832,252.72/65,633.25
  6. Step 6: Final answer
    x = 49,438.85

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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.