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Finding the Fourth Proportional to 27,999.97, 42,004.05 and 10,231.50

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Solution

The fourth proportional to 27,999.97, 42,004.05 and 10,231.50 is: 15,348.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,999.97 : 42,004.05 = 10,231.50 : x
  2. Step 2: Convert to fraction form
    27,999.97/42,004.05 = 10,231.50/x
  3. Step 3: Cross multiply
    27,999.97x = 42,004.05 × 10,231.50
  4. Step 4: Simplify right side
    27,999.97x = 429,764,437.58
  5. Step 5: Solve for x
    x = 429,764,437.58/27,999.97
  6. Step 6: Final answer
    x = 15,348.75

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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.