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Finding the Fourth Proportional to 57,525.35, 86,252.79 and 22,424

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Solution

The fourth proportional to 57,525.35, 86,252.79 and 22,424 is: 33,622.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,525.35 : 86,252.79 = 22,424 : x
  2. Step 2: Convert to fraction form
    57,525.35/86,252.79 = 22,424/x
  3. Step 3: Cross multiply
    57,525.35x = 86,252.79 × 22,424
  4. Step 4: Simplify right side
    57,525.35x = 1,934,132,562.96
  5. Step 5: Solve for x
    x = 1,934,132,562.96/57,525.35
  6. Step 6: Final answer
    x = 33,622.27

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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.