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Finding the Fourth Proportional to 31,464, 43,420.31 and 17,316.84

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Solution

The fourth proportional to 31,464, 43,420.31 and 17,316.84 is: 23,897.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,464 : 43,420.31 = 17,316.84 : x
  2. Step 2: Convert to fraction form
    31,464/43,420.31 = 17,316.84/x
  3. Step 3: Cross multiply
    31,464x = 43,420.31 × 17,316.84
  4. Step 4: Simplify right side
    31,464x = 751,902,604.31
  5. Step 5: Solve for x
    x = 751,902,604.31/31,464
  6. Step 6: Final answer
    x = 23,897.24

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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.