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Finding the Fourth Proportional to 33,205.18, 49,800.66 and 9,506.36

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Solution

The fourth proportional to 33,205.18, 49,800.66 and 9,506.36 is: 14,257.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,205.18 : 49,800.66 = 9,506.36 : x
  2. Step 2: Convert to fraction form
    33,205.18/49,800.66 = 9,506.36/x
  3. Step 3: Cross multiply
    33,205.18x = 49,800.66 × 9,506.36
  4. Step 4: Simplify right side
    33,205.18x = 473,423,002.20
  5. Step 5: Solve for x
    x = 473,423,002.20/33,205.18
  6. Step 6: Final answer
    x = 14,257.50

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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.