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Finding the Fourth Proportional to 64,461.44, 96,593.24 and 27,001

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Solution

The fourth proportional to 64,461.44, 96,593.24 and 27,001 is: 40,460.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,461.44 : 96,593.24 = 27,001 : x
  2. Step 2: Convert to fraction form
    64,461.44/96,593.24 = 27,001/x
  3. Step 3: Cross multiply
    64,461.44x = 96,593.24 × 27,001
  4. Step 4: Simplify right side
    64,461.44x = 2,608,114,073.24
  5. Step 5: Solve for x
    x = 2,608,114,073.24/64,461.44
  6. Step 6: Final answer
    x = 40,460.07

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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.