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Finding the Fourth Proportional to 23,204.48, 34,978.12 and 21,849.80

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Solution

The fourth proportional to 23,204.48, 34,978.12 and 21,849.80 is: 32,936.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,204.48 : 34,978.12 = 21,849.80 : x
  2. Step 2: Convert to fraction form
    23,204.48/34,978.12 = 21,849.80/x
  3. Step 3: Cross multiply
    23,204.48x = 34,978.12 × 21,849.80
  4. Step 4: Simplify right side
    23,204.48x = 764,264,817.13
  5. Step 5: Solve for x
    x = 764,264,817.13/23,204.48
  6. Step 6: Final answer
    x = 32,936.09

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.