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Finding the Fourth Proportional to 31,306.96, 43,203.14 and 17,159.83

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Solution

The fourth proportional to 31,306.96, 43,203.14 and 17,159.83 is: 23,680.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,306.96 : 43,203.14 = 17,159.83 : x
  2. Step 2: Convert to fraction form
    31,306.96/43,203.14 = 17,159.83/x
  3. Step 3: Cross multiply
    31,306.96x = 43,203.14 × 17,159.83
  4. Step 4: Simplify right side
    31,306.96x = 741,358,452.07
  5. Step 5: Solve for x
    x = 741,358,452.07/31,306.96
  6. Step 6: Final answer
    x = 23,680.31

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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.