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Finding the Fourth Proportional to 29,678.20, 40,956.03 and 16,249.51

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Solution

The fourth proportional to 29,678.20, 40,956.03 and 16,249.51 is: 22,424.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,678.20 : 40,956.03 = 16,249.51 : x
  2. Step 2: Convert to fraction form
    29,678.20/40,956.03 = 16,249.51/x
  3. Step 3: Cross multiply
    29,678.20x = 40,956.03 × 16,249.51
  4. Step 4: Simplify right side
    29,678.20x = 665,515,470.24
  5. Step 5: Solve for x
    x = 665,515,470.24/29,678.20
  6. Step 6: Final answer
    x = 22,424.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.