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Finding the Fourth Proportional to 65,231.32, 97,791.72 and 25,816.24

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Solution

The fourth proportional to 65,231.32, 97,791.72 and 25,816.24 is: 38,702.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,231.32 : 97,791.72 = 25,816.24 : x
  2. Step 2: Convert to fraction form
    65,231.32/97,791.72 = 25,816.24/x
  3. Step 3: Cross multiply
    65,231.32x = 97,791.72 × 25,816.24
  4. Step 4: Simplify right side
    65,231.32x = 2,524,614,513.53
  5. Step 5: Solve for x
    x = 2,524,614,513.53/65,231.32
  6. Step 6: Final answer
    x = 38,702.49

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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.