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Finding the Fourth Proportional to 35,580, 49,100.36 and 19,664.30

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Solution

The fourth proportional to 35,580, 49,100.36 and 19,664.30 is: 27,136.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,580 : 49,100.36 = 19,664.30 : x
  2. Step 2: Convert to fraction form
    35,580/49,100.36 = 19,664.30/x
  3. Step 3: Cross multiply
    35,580x = 49,100.36 × 19,664.30
  4. Step 4: Simplify right side
    35,580x = 965,524,209.15
  5. Step 5: Solve for x
    x = 965,524,209.15/35,580
  6. Step 6: Final answer
    x = 27,136.71

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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.