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Finding the Fourth Proportional to 31,480.38, 43,443.87 and 17,334.06

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Solution

The fourth proportional to 31,480.38, 43,443.87 and 17,334.06 is: 23,921.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,480.38 : 43,443.87 = 17,334.06 : x
  2. Step 2: Convert to fraction form
    31,480.38/43,443.87 = 17,334.06/x
  3. Step 3: Cross multiply
    31,480.38x = 43,443.87 × 17,334.06
  4. Step 4: Simplify right side
    31,480.38x = 753,058,649.21
  5. Step 5: Solve for x
    x = 753,058,649.21/31,480.38
  6. Step 6: Final answer
    x = 23,921.52

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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.