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Finding the Fourth Proportional to 69,377.50, 104,080.83 and 27,824.50

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Solution

The fourth proportional to 69,377.50, 104,080.83 and 27,824.50 is: 41,742.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,377.50 : 104,080.83 = 27,824.50 : x
  2. Step 2: Convert to fraction form
    69,377.50/104,080.83 = 27,824.50/x
  3. Step 3: Cross multiply
    69,377.50x = 104,080.83 × 27,824.50
  4. Step 4: Simplify right side
    69,377.50x = 2,895,997,054.34
  5. Step 5: Solve for x
    x = 2,895,997,054.34/69,377.50
  6. Step 6: Final answer
    x = 41,742.60

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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.