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Finding the Fourth Proportional to 33,960.38, 46,865.39 and 19,814.13

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Solution

The fourth proportional to 33,960.38, 46,865.39 and 19,814.13 is: 27,343.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,960.38 : 46,865.39 = 19,814.13 : x
  2. Step 2: Convert to fraction form
    33,960.38/46,865.39 = 19,814.13/x
  3. Step 3: Cross multiply
    33,960.38x = 46,865.39 × 19,814.13
  4. Step 4: Simplify right side
    33,960.38x = 928,596,830.89
  5. Step 5: Solve for x
    x = 928,596,830.89/33,960.38
  6. Step 6: Final answer
    x = 27,343.54

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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.