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Finding the Fourth Proportional to 30,267.68, 41,769.88 and 16,839.09

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Solution

The fourth proportional to 30,267.68, 41,769.88 and 16,839.09 is: 23,238.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,267.68 : 41,769.88 = 16,839.09 : x
  2. Step 2: Convert to fraction form
    30,267.68/41,769.88 = 16,839.09/x
  3. Step 3: Cross multiply
    30,267.68x = 41,769.88 × 16,839.09
  4. Step 4: Simplify right side
    30,267.68x = 703,366,726.51
  5. Step 5: Solve for x
    x = 703,366,726.51/30,267.68
  6. Step 6: Final answer
    x = 23,238.21

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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.