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Finding the Fourth Proportional to 67,174.27, 100,726.63 and 19,783.20

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Solution

The fourth proportional to 67,174.27, 100,726.63 and 19,783.20 is: 29,664.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,174.27 : 100,726.63 = 19,783.20 : x
  2. Step 2: Convert to fraction form
    67,174.27/100,726.63 = 19,783.20/x
  3. Step 3: Cross multiply
    67,174.27x = 100,726.63 × 19,783.20
  4. Step 4: Simplify right side
    67,174.27x = 1,992,695,066.62
  5. Step 5: Solve for x
    x = 1,992,695,066.62/67,174.27
  6. Step 6: Final answer
    x = 29,664.56

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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.