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Finding the Fourth Proportional to 33,220.55, 49,826.12 and 9,530.12

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Solution

The fourth proportional to 33,220.55, 49,826.12 and 9,530.12 is: 14,293.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,220.55 : 49,826.12 = 9,530.12 : x
  2. Step 2: Convert to fraction form
    33,220.55/49,826.12 = 9,530.12/x
  3. Step 3: Cross multiply
    33,220.55x = 49,826.12 × 9,530.12
  4. Step 4: Simplify right side
    33,220.55x = 474,848,605.95
  5. Step 5: Solve for x
    x = 474,848,605.95/33,220.55
  6. Step 6: Final answer
    x = 14,293.82

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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.