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Finding the Fourth Proportional to 31,412.16, 43,358.90 and 20,112.09

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Solution

The fourth proportional to 31,412.16, 43,358.90 and 20,112.09 is: 27,761.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,412.16 : 43,358.90 = 20,112.09 : x
  2. Step 2: Convert to fraction form
    31,412.16/43,358.90 = 20,112.09/x
  3. Step 3: Cross multiply
    31,412.16x = 43,358.90 × 20,112.09
  4. Step 4: Simplify right side
    31,412.16x = 872,038,099.10
  5. Step 5: Solve for x
    x = 872,038,099.10/31,412.16
  6. Step 6: Final answer
    x = 27,761.16

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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.