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Finding the Fourth Proportional to 33,444.74, 46,155.19 and 20,013.42

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Solution

The fourth proportional to 33,444.74, 46,155.19 and 20,013.42 is: 27,619.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,444.74 : 46,155.19 = 20,013.42 : x
  2. Step 2: Convert to fraction form
    33,444.74/46,155.19 = 20,013.42/x
  3. Step 3: Cross multiply
    33,444.74x = 46,155.19 × 20,013.42
  4. Step 4: Simplify right side
    33,444.74x = 923,723,152.62
  5. Step 5: Solve for x
    x = 923,723,152.62/33,444.74
  6. Step 6: Final answer
    x = 27,619.38

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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.