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Finding the Fourth Proportional to 31,339.48, 43,255.74 and 20,142.04

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Solution

The fourth proportional to 31,339.48, 43,255.74 and 20,142.04 is: 27,800.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,339.48 : 43,255.74 = 20,142.04 : x
  2. Step 2: Convert to fraction form
    31,339.48/43,255.74 = 20,142.04/x
  3. Step 3: Cross multiply
    31,339.48x = 43,255.74 × 20,142.04
  4. Step 4: Simplify right side
    31,339.48x = 871,258,845.31
  5. Step 5: Solve for x
    x = 871,258,845.31/31,339.48
  6. Step 6: Final answer
    x = 27,800.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.