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Finding the Fourth Proportional to 65,187.66, 97,801.17 and 27,255.36

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Solution

The fourth proportional to 65,187.66, 97,801.17 and 27,255.36 is: 40,891.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,187.66 : 97,801.17 = 27,255.36 : x
  2. Step 2: Convert to fraction form
    65,187.66/97,801.17 = 27,255.36/x
  3. Step 3: Cross multiply
    65,187.66x = 97,801.17 × 27,255.36
  4. Step 4: Simplify right side
    65,187.66x = 2,665,606,096.77
  5. Step 5: Solve for x
    x = 2,665,606,096.77/65,187.66
  6. Step 6: Final answer
    x = 40,891.27

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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.