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Finding the Fourth Proportional to 64,615.97, 96,930.86 and 27,179.84

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Solution

The fourth proportional to 64,615.97, 96,930.86 and 27,179.84 is: 40,772.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,615.97 : 96,930.86 = 27,179.84 : x
  2. Step 2: Convert to fraction form
    64,615.97/96,930.86 = 27,179.84/x
  3. Step 3: Cross multiply
    64,615.97x = 96,930.86 × 27,179.84
  4. Step 4: Simplify right side
    64,615.97x = 2,634,565,265.86
  5. Step 5: Solve for x
    x = 2,634,565,265.86/64,615.97
  6. Step 6: Final answer
    x = 40,772.66

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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.