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Finding the Fourth Proportional to 31,243.56, 46,871.28 and 11,523.66

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Solution

The fourth proportional to 31,243.56, 46,871.28 and 11,523.66 is: 17,287.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,243.56 : 46,871.28 = 11,523.66 : x
  2. Step 2: Convert to fraction form
    31,243.56/46,871.28 = 11,523.66/x
  3. Step 3: Cross multiply
    31,243.56x = 46,871.28 × 11,523.66
  4. Step 4: Simplify right side
    31,243.56x = 540,128,694.48
  5. Step 5: Solve for x
    x = 540,128,694.48/31,243.56
  6. Step 6: Final answer
    x = 17,287.68

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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.