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Finding the Fourth Proportional to 31,230.42, 43,098.99 and 17,083.24

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Solution

The fourth proportional to 31,230.42, 43,098.99 and 17,083.24 is: 23,575.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,230.42 : 43,098.99 = 17,083.24 : x
  2. Step 2: Convert to fraction form
    31,230.42/43,098.99 = 17,083.24/x
  3. Step 3: Cross multiply
    31,230.42x = 43,098.99 × 17,083.24
  4. Step 4: Simplify right side
    31,230.42x = 736,270,389.93
  5. Step 5: Solve for x
    x = 736,270,389.93/31,230.42
  6. Step 6: Final answer
    x = 23,575.42

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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.