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Finding the Fourth Proportional to 83,544.75, 125,322.12 and 33,624.63

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Solution

The fourth proportional to 83,544.75, 125,322.12 and 33,624.63 is: 50,438.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,544.75 : 125,322.12 = 33,624.63 : x
  2. Step 2: Convert to fraction form
    83,544.75/125,322.12 = 33,624.63/x
  3. Step 3: Cross multiply
    83,544.75x = 125,322.12 × 33,624.63
  4. Step 4: Simplify right side
    83,544.75x = 4,213,909,915.82
  5. Step 5: Solve for x
    x = 4,213,909,915.82/83,544.75
  6. Step 6: Final answer
    x = 50,438.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.