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Finding the Fourth Proportional to 31,417.64, 43,356.39 and 17,270.57

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Solution

The fourth proportional to 31,417.64, 43,356.39 and 17,270.57 is: 23,833.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,417.64 : 43,356.39 = 17,270.57 : x
  2. Step 2: Convert to fraction form
    31,417.64/43,356.39 = 17,270.57/x
  3. Step 3: Cross multiply
    31,417.64x = 43,356.39 × 17,270.57
  4. Step 4: Simplify right side
    31,417.64x = 748,789,568.44
  5. Step 5: Solve for x
    x = 748,789,568.44/31,417.64
  6. Step 6: Final answer
    x = 23,833.41

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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.