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Finding the Fourth Proportional to 31,269.72, 43,143.66 and 20,098.20

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Solution

The fourth proportional to 31,269.72, 43,143.66 and 20,098.20 is: 27,730.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,269.72 : 43,143.66 = 20,098.20 : x
  2. Step 2: Convert to fraction form
    31,269.72/43,143.66 = 20,098.20/x
  3. Step 3: Cross multiply
    31,269.72x = 43,143.66 × 20,098.20
  4. Step 4: Simplify right side
    31,269.72x = 867,109,907.41
  5. Step 5: Solve for x
    x = 867,109,907.41/31,269.72
  6. Step 6: Final answer
    x = 27,730.02

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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.