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Finding the Fourth Proportional to 31,460.38, 43,415.30 and 17,313.22

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Solution

The fourth proportional to 31,460.38, 43,415.30 and 17,313.22 is: 23,892.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,460.38 : 43,415.30 = 17,313.22 : x
  2. Step 2: Convert to fraction form
    31,460.38/43,415.30 = 17,313.22/x
  3. Step 3: Cross multiply
    31,460.38x = 43,415.30 × 17,313.22
  4. Step 4: Simplify right side
    31,460.38x = 751,658,553.70
  5. Step 5: Solve for x
    x = 751,658,553.70/31,460.38
  6. Step 6: Final answer
    x = 23,892.23

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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.