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Finding the Fourth Proportional to 65,231.10, 97,883.10 and 27,784.80

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Solution

The fourth proportional to 65,231.10, 97,883.10 and 27,784.80 is: 41,692.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,231.10 : 97,883.10 = 27,784.80 : x
  2. Step 2: Convert to fraction form
    65,231.10/97,883.10 = 27,784.80/x
  3. Step 3: Cross multiply
    65,231.10x = 97,883.10 × 27,784.80
  4. Step 4: Simplify right side
    65,231.10x = 2,719,662,356.88
  5. Step 5: Solve for x
    x = 2,719,662,356.88/65,231.10
  6. Step 6: Final answer
    x = 41,692.73

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Why These Related Problems?

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