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Finding the Fourth Proportional to 31,295.97, 43,161.13 and 31,138.10

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Solution

The fourth proportional to 31,295.97, 43,161.13 and 31,138.10 is: 42,943.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,295.97 : 43,161.13 = 31,138.10 : x
  2. Step 2: Convert to fraction form
    31,295.97/43,161.13 = 31,138.10/x
  3. Step 3: Cross multiply
    31,295.97x = 43,161.13 × 31,138.10
  4. Step 4: Simplify right side
    31,295.97x = 1,343,955,358.06
  5. Step 5: Solve for x
    x = 1,343,955,358.06/31,295.97
  6. Step 6: Final answer
    x = 42,943.40

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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.