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Finding the Fourth Proportional to 31,463.83, 43,420.22 and 17,317.18

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Solution

The fourth proportional to 31,463.83, 43,420.22 and 17,317.18 is: 23,897.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,463.83 : 43,420.22 = 17,317.18 : x
  2. Step 2: Convert to fraction form
    31,463.83/43,420.22 = 17,317.18/x
  3. Step 3: Cross multiply
    31,463.83x = 43,420.22 × 17,317.18
  4. Step 4: Simplify right side
    31,463.83x = 751,915,765.38
  5. Step 5: Solve for x
    x = 751,915,765.38/31,463.83
  6. Step 6: Final answer
    x = 23,897.78

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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.