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Finding the Fourth Proportional to 31,580.97, 43,639.38 and 27,042.81

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Solution

The fourth proportional to 31,580.97, 43,639.38 and 27,042.81 is: 37,368.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,580.97 : 43,639.38 = 27,042.81 : x
  2. Step 2: Convert to fraction form
    31,580.97/43,639.38 = 27,042.81/x
  3. Step 3: Cross multiply
    31,580.97x = 43,639.38 × 27,042.81
  4. Step 4: Simplify right side
    31,580.97x = 1,180,131,461.86
  5. Step 5: Solve for x
    x = 1,180,131,461.86/31,580.97
  6. Step 6: Final answer
    x = 37,368.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.