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Finding the Fourth Proportional to 57,633, 86,416.29 and 22,553.52

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Solution

The fourth proportional to 57,633, 86,416.29 and 22,553.52 is: 33,817.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,633 : 86,416.29 = 22,553.52 : x
  2. Step 2: Convert to fraction form
    57,633/86,416.29 = 22,553.52/x
  3. Step 3: Cross multiply
    57,633x = 86,416.29 × 22,553.52
  4. Step 4: Simplify right side
    57,633x = 1,948,991,524.84
  5. Step 5: Solve for x
    x = 1,948,991,524.84/57,633
  6. Step 6: Final answer
    x = 33,817.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.