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Finding the Fourth Proportional to 35,658.62, 49,209.08 and 19,743.33

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Solution

The fourth proportional to 35,658.62, 49,209.08 and 19,743.33 is: 27,245.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,658.62 : 49,209.08 = 19,743.33 : x
  2. Step 2: Convert to fraction form
    35,658.62/49,209.08 = 19,743.33/x
  3. Step 3: Cross multiply
    35,658.62x = 49,209.08 × 19,743.33
  4. Step 4: Simplify right side
    35,658.62x = 971,551,105.44
  5. Step 5: Solve for x
    x = 971,551,105.44/35,658.62
  6. Step 6: Final answer
    x = 27,245.90

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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.