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Finding the Fourth Proportional to 57,722.16, 86,595 and 22,182

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Solution

The fourth proportional to 57,722.16, 86,595 and 22,182 is: 33,277.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,722.16 : 86,595 = 22,182 : x
  2. Step 2: Convert to fraction form
    57,722.16/86,595 = 22,182/x
  3. Step 3: Cross multiply
    57,722.16x = 86,595 × 22,182
  4. Step 4: Simplify right side
    57,722.16x = 1,920,850,290
  5. Step 5: Solve for x
    x = 1,920,850,290/57,722.16
  6. Step 6: Final answer
    x = 33,277.52

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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.