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Finding the Fourth Proportional to 64,462.44, 96,594.74 and 27,002

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Solution

The fourth proportional to 64,462.44, 96,594.74 and 27,002 is: 40,461.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,462.44 : 96,594.74 = 27,002 : x
  2. Step 2: Convert to fraction form
    64,462.44/96,594.74 = 27,002/x
  3. Step 3: Cross multiply
    64,462.44x = 96,594.74 × 27,002
  4. Step 4: Simplify right side
    64,462.44x = 2,608,251,169.48
  5. Step 5: Solve for x
    x = 2,608,251,169.48/64,462.44
  6. Step 6: Final answer
    x = 40,461.56

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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.