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Finding the Fourth Proportional to 29,033.50, 40,067.04 and 16,459.06

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Solution

The fourth proportional to 29,033.50, 40,067.04 and 16,459.06 is: 22,713.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,033.50 : 40,067.04 = 16,459.06 : x
  2. Step 2: Convert to fraction form
    29,033.50/40,067.04 = 16,459.06/x
  3. Step 3: Cross multiply
    29,033.50x = 40,067.04 × 16,459.06
  4. Step 4: Simplify right side
    29,033.50x = 659,465,815.38
  5. Step 5: Solve for x
    x = 659,465,815.38/29,033.50
  6. Step 6: Final answer
    x = 22,713.96

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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.