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Finding the Fourth Proportional to 69,946.50, 104,914.08 and 27,824.88

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Solution

The fourth proportional to 69,946.50, 104,914.08 and 27,824.88 is: 41,735.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,946.50 : 104,914.08 = 27,824.88 : x
  2. Step 2: Convert to fraction form
    69,946.50/104,914.08 = 27,824.88/x
  3. Step 3: Cross multiply
    69,946.50x = 104,914.08 × 27,824.88
  4. Step 4: Simplify right side
    69,946.50x = 2,919,221,686.31
  5. Step 5: Solve for x
    x = 2,919,221,686.31/69,946.50
  6. Step 6: Final answer
    x = 41,735.06

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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.