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Finding the Fourth Proportional to 33,189.62, 45,813.42 and 29,646.68

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Solution

The fourth proportional to 33,189.62, 45,813.42 and 29,646.68 is: 40,922.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,189.62 : 45,813.42 = 29,646.68 : x
  2. Step 2: Convert to fraction form
    33,189.62/45,813.42 = 29,646.68/x
  3. Step 3: Cross multiply
    33,189.62x = 45,813.42 × 29,646.68
  4. Step 4: Simplify right side
    33,189.62x = 1,358,215,573.38
  5. Step 5: Solve for x
    x = 1,358,215,573.38/33,189.62
  6. Step 6: Final answer
    x = 40,922.91

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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.