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Finding the Fourth Proportional to 30,266.70, 41,767.92 and 16,839.24

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Solution

The fourth proportional to 30,266.70, 41,767.92 and 16,839.24 is: 23,238.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,266.70 : 41,767.92 = 16,839.24 : x
  2. Step 2: Convert to fraction form
    30,266.70/41,767.92 = 16,839.24/x
  3. Step 3: Cross multiply
    30,266.70x = 41,767.92 × 16,839.24
  4. Step 4: Simplify right side
    30,266.70x = 703,340,029.18
  5. Step 5: Solve for x
    x = 703,340,029.18/30,266.70
  6. Step 6: Final answer
    x = 23,238.08

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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.