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Finding the Fourth Proportional to 71,757.51, 107,659.34 and 21,847.28

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Solution

The fourth proportional to 71,757.51, 107,659.34 and 21,847.28 is: 32,777.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,757.51 : 107,659.34 = 21,847.28 : x
  2. Step 2: Convert to fraction form
    71,757.51/107,659.34 = 21,847.28/x
  3. Step 3: Cross multiply
    71,757.51x = 107,659.34 × 21,847.28
  4. Step 4: Simplify right side
    71,757.51x = 2,352,063,098.06
  5. Step 5: Solve for x
    x = 2,352,063,098.06/71,757.51
  6. Step 6: Final answer
    x = 32,777.94

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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.