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Finding the Fourth Proportional to 65,195.64, 97,811.22 and 27,757.56

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Solution

The fourth proportional to 65,195.64, 97,811.22 and 27,757.56 is: 41,643.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,195.64 : 97,811.22 = 27,757.56 : x
  2. Step 2: Convert to fraction form
    65,195.64/97,811.22 = 27,757.56/x
  3. Step 3: Cross multiply
    65,195.64x = 97,811.22 × 27,757.56
  4. Step 4: Simplify right side
    65,195.64x = 2,715,000,807.82
  5. Step 5: Solve for x
    x = 2,715,000,807.82/65,195.64
  6. Step 6: Final answer
    x = 41,643.90

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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.