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Finding the Fourth Proportional to 31,394.48, 43,324.16 and 17,054.18

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Solution

The fourth proportional to 31,394.48, 43,324.16 and 17,054.18 is: 23,534.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,394.48 : 43,324.16 = 17,054.18 : x
  2. Step 2: Convert to fraction form
    31,394.48/43,324.16 = 17,054.18/x
  3. Step 3: Cross multiply
    31,394.48x = 43,324.16 × 17,054.18
  4. Step 4: Simplify right side
    31,394.48x = 738,858,022.99
  5. Step 5: Solve for x
    x = 738,858,022.99/31,394.48
  6. Step 6: Final answer
    x = 23,534.65

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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.