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Finding the Fourth Proportional to 30,138.39, 41,590.89 and 18,199.38

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Solution

The fourth proportional to 30,138.39, 41,590.89 and 18,199.38 is: 25,115.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,138.39 : 41,590.89 = 18,199.38 : x
  2. Step 2: Convert to fraction form
    30,138.39/41,590.89 = 18,199.38/x
  3. Step 3: Cross multiply
    30,138.39x = 41,590.89 × 18,199.38
  4. Step 4: Simplify right side
    30,138.39x = 756,928,411.65
  5. Step 5: Solve for x
    x = 756,928,411.65/30,138.39
  6. Step 6: Final answer
    x = 25,115.09

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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.