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Finding the Fourth Proportional to 31,543.22, 43,828.36 and 31,214.16

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Solution

The fourth proportional to 31,543.22, 43,828.36 and 31,214.16 is: 43,371.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,543.22 : 43,828.36 = 31,214.16 : x
  2. Step 2: Convert to fraction form
    31,543.22/43,828.36 = 31,214.16/x
  3. Step 3: Cross multiply
    31,543.22x = 43,828.36 × 31,214.16
  4. Step 4: Simplify right side
    31,543.22x = 1,368,065,363.54
  5. Step 5: Solve for x
    x = 1,368,065,363.54/31,543.22
  6. Step 6: Final answer
    x = 43,371.14

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.