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Finding the Fourth Proportional to 29,041.92, 43,493.76 and 16,704

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Solution

The fourth proportional to 29,041.92, 43,493.76 and 16,704 is: 25,016.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,041.92 : 43,493.76 = 16,704 : x
  2. Step 2: Convert to fraction form
    29,041.92/43,493.76 = 16,704/x
  3. Step 3: Cross multiply
    29,041.92x = 43,493.76 × 16,704
  4. Step 4: Simplify right side
    29,041.92x = 726,519,767.04
  5. Step 5: Solve for x
    x = 726,519,767.04/29,041.92
  6. Step 6: Final answer
    x = 25,016.24

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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.