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Finding the Fourth Proportional to 64,889.10, 97,346.62 and 27,449

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Solution

The fourth proportional to 64,889.10, 97,346.62 and 27,449 is: 41,178.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,889.10 : 97,346.62 = 27,449 : x
  2. Step 2: Convert to fraction form
    64,889.10/97,346.62 = 27,449/x
  3. Step 3: Cross multiply
    64,889.10x = 97,346.62 × 27,449
  4. Step 4: Simplify right side
    64,889.10x = 2,672,067,372.38
  5. Step 5: Solve for x
    x = 2,672,067,372.38/64,889.10
  6. Step 6: Final answer
    x = 41,178.99

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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.