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Finding the Fourth Proportional to 33,267.80, 49,901.70 and 9,891.20

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Solution

The fourth proportional to 33,267.80, 49,901.70 and 9,891.20 is: 14,836.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,267.80 : 49,901.70 = 9,891.20 : x
  2. Step 2: Convert to fraction form
    33,267.80/49,901.70 = 9,891.20/x
  3. Step 3: Cross multiply
    33,267.80x = 49,901.70 × 9,891.20
  4. Step 4: Simplify right side
    33,267.80x = 493,587,695.04
  5. Step 5: Solve for x
    x = 493,587,695.04/33,267.80
  6. Step 6: Final answer
    x = 14,836.80

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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.