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Finding the Fourth Proportional to 64,891.10, 97,349.62 and 27,451

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Solution

The fourth proportional to 64,891.10, 97,349.62 and 27,451 is: 41,181.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,891.10 : 97,349.62 = 27,451 : x
  2. Step 2: Convert to fraction form
    64,891.10/97,349.62 = 27,451/x
  3. Step 3: Cross multiply
    64,891.10x = 97,349.62 × 27,451
  4. Step 4: Simplify right side
    64,891.10x = 2,672,344,418.62
  5. Step 5: Solve for x
    x = 2,672,344,418.62/64,891.10
  6. Step 6: Final answer
    x = 41,181.99

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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.