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Finding the Fourth Proportional to 64,177.50, 96,305.13 and 27,241.50

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Solution

The fourth proportional to 64,177.50, 96,305.13 and 27,241.50 is: 40,878.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,177.50 : 96,305.13 = 27,241.50 : x
  2. Step 2: Convert to fraction form
    64,177.50/96,305.13 = 27,241.50/x
  3. Step 3: Cross multiply
    64,177.50x = 96,305.13 × 27,241.50
  4. Step 4: Simplify right side
    64,177.50x = 2,623,496,198.90
  5. Step 5: Solve for x
    x = 2,623,496,198.90/64,177.50
  6. Step 6: Final answer
    x = 40,878.75

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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.