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Finding the Fourth Proportional to 74,575.27, 111,859.26 and 27,824.50

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Solution

The fourth proportional to 74,575.27, 111,859.26 and 27,824.50 is: 41,735.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,575.27 : 111,859.26 = 27,824.50 : x
  2. Step 2: Convert to fraction form
    74,575.27/111,859.26 = 27,824.50/x
  3. Step 3: Cross multiply
    74,575.27x = 111,859.26 × 27,824.50
  4. Step 4: Simplify right side
    74,575.27x = 3,112,427,979.87
  5. Step 5: Solve for x
    x = 3,112,427,979.87/74,575.27
  6. Step 6: Final answer
    x = 41,735.39

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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.