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Finding the Fourth Proportional to 71,825.22, 107,619.03 and 36,716.58

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Solution

The fourth proportional to 71,825.22, 107,619.03 and 36,716.58 is: 55,014.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,825.22 : 107,619.03 = 36,716.58 : x
  2. Step 2: Convert to fraction form
    71,825.22/107,619.03 = 36,716.58/x
  3. Step 3: Cross multiply
    71,825.22x = 107,619.03 × 36,716.58
  4. Step 4: Simplify right side
    71,825.22x = 3,951,402,724.52
  5. Step 5: Solve for x
    x = 3,951,402,724.52/71,825.22
  6. Step 6: Final answer
    x = 55,014.14

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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.