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Finding the Fourth Proportional to 35,584.70, 49,104.78 and 19,668.20

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Solution

The fourth proportional to 35,584.70, 49,104.78 and 19,668.20 is: 27,140.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,584.70 : 49,104.78 = 19,668.20 : x
  2. Step 2: Convert to fraction form
    35,584.70/49,104.78 = 19,668.20/x
  3. Step 3: Cross multiply
    35,584.70x = 49,104.78 × 19,668.20
  4. Step 4: Simplify right side
    35,584.70x = 965,802,388.47
  5. Step 5: Solve for x
    x = 965,802,388.47/35,584.70
  6. Step 6: Final answer
    x = 27,140.95

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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.