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Finding the Fourth Proportional to 71,655.32, 107,529.60 and 27,282.44

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Solution

The fourth proportional to 71,655.32, 107,529.60 and 27,282.44 is: 40,941.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,655.32 : 107,529.60 = 27,282.44 : x
  2. Step 2: Convert to fraction form
    71,655.32/107,529.60 = 27,282.44/x
  3. Step 3: Cross multiply
    71,655.32x = 107,529.60 × 27,282.44
  4. Step 4: Simplify right side
    71,655.32x = 2,933,669,860.22
  5. Step 5: Solve for x
    x = 2,933,669,860.22/71,655.32
  6. Step 6: Final answer
    x = 40,941.41

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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.