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Finding the Fourth Proportional to 31,412.92, 43,359.93 and 20,112.85

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Solution

The fourth proportional to 31,412.92, 43,359.93 and 20,112.85 is: 27,762.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,412.92 : 43,359.93 = 20,112.85 : x
  2. Step 2: Convert to fraction form
    31,412.92/43,359.93 = 20,112.85/x
  3. Step 3: Cross multiply
    31,412.92x = 43,359.93 × 20,112.85
  4. Step 4: Simplify right side
    31,412.92x = 872,091,450.74
  5. Step 5: Solve for x
    x = 872,091,450.74/31,412.92
  6. Step 6: Final answer
    x = 27,762.19

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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.