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Finding the Fourth Proportional to 27,027.60, 40,542.31 and 7,306.32

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Solution

The fourth proportional to 27,027.60, 40,542.31 and 7,306.32 is: 10,959.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,027.60 : 40,542.31 = 7,306.32 : x
  2. Step 2: Convert to fraction form
    27,027.60/40,542.31 = 7,306.32/x
  3. Step 3: Cross multiply
    27,027.60x = 40,542.31 × 7,306.32
  4. Step 4: Simplify right side
    27,027.60x = 296,215,090.40
  5. Step 5: Solve for x
    x = 296,215,090.40/27,027.60
  6. Step 6: Final answer
    x = 10,959.73

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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.