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Finding the Fourth Proportional to 33,053.67, 49,580.46 and 9,680.11

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Solution

The fourth proportional to 33,053.67, 49,580.46 and 9,680.11 is: 14,520.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,053.67 : 49,580.46 = 9,680.11 : x
  2. Step 2: Convert to fraction form
    33,053.67/49,580.46 = 9,680.11/x
  3. Step 3: Cross multiply
    33,053.67x = 49,580.46 × 9,680.11
  4. Step 4: Simplify right side
    33,053.67x = 479,944,182.70
  5. Step 5: Solve for x
    x = 479,944,182.70/33,053.67
  6. Step 6: Final answer
    x = 14,520.15

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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.