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Finding the Fourth Proportional to 33,289.76, 49,891.44 and 13,545.38

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Solution

The fourth proportional to 33,289.76, 49,891.44 and 13,545.38 is: 20,300.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,289.76 : 49,891.44 = 13,545.38 : x
  2. Step 2: Convert to fraction form
    33,289.76/49,891.44 = 13,545.38/x
  3. Step 3: Cross multiply
    33,289.76x = 49,891.44 × 13,545.38
  4. Step 4: Simplify right side
    33,289.76x = 675,798,513.55
  5. Step 5: Solve for x
    x = 675,798,513.55/33,289.76
  6. Step 6: Final answer
    x = 20,300.49

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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.