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Finding the Fourth Proportional to 71,726.84, 107,589.28 and 32,256

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Solution

The fourth proportional to 71,726.84, 107,589.28 and 32,256 is: 48,383.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,726.84 : 107,589.28 = 32,256 : x
  2. Step 2: Convert to fraction form
    71,726.84/107,589.28 = 32,256/x
  3. Step 3: Cross multiply
    71,726.84x = 107,589.28 × 32,256
  4. Step 4: Simplify right side
    71,726.84x = 3,470,399,815.68
  5. Step 5: Solve for x
    x = 3,470,399,815.68/71,726.84
  6. Step 6: Final answer
    x = 48,383.56

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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.