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Finding the Fourth Proportional to 33,488.69, 46,211.34 and 19,874.38

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Solution

The fourth proportional to 33,488.69, 46,211.34 and 19,874.38 is: 27,424.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,488.69 : 46,211.34 = 19,874.38 : x
  2. Step 2: Convert to fraction form
    33,488.69/46,211.34 = 19,874.38/x
  3. Step 3: Cross multiply
    33,488.69x = 46,211.34 × 19,874.38
  4. Step 4: Simplify right side
    33,488.69x = 918,421,731.47
  5. Step 5: Solve for x
    x = 918,421,731.47/33,488.69
  6. Step 6: Final answer
    x = 27,424.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.