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Finding the Fourth Proportional to 71,842.16, 107,763.24 and 21,922.52

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Solution

The fourth proportional to 71,842.16, 107,763.24 and 21,922.52 is: 32,883.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,842.16 : 107,763.24 = 21,922.52 : x
  2. Step 2: Convert to fraction form
    71,842.16/107,763.24 = 21,922.52/x
  3. Step 3: Cross multiply
    71,842.16x = 107,763.24 × 21,922.52
  4. Step 4: Simplify right side
    71,842.16x = 2,362,441,327.56
  5. Step 5: Solve for x
    x = 2,362,441,327.56/71,842.16
  6. Step 6: Final answer
    x = 32,883.78

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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.