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Finding the Fourth Proportional to 31,740.33, 43,801.50 and 17,400.13

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Solution

The fourth proportional to 31,740.33, 43,801.50 and 17,400.13 is: 24,012.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,740.33 : 43,801.50 = 17,400.13 : x
  2. Step 2: Convert to fraction form
    31,740.33/43,801.50 = 17,400.13/x
  3. Step 3: Cross multiply
    31,740.33x = 43,801.50 × 17,400.13
  4. Step 4: Simplify right side
    31,740.33x = 762,151,794.20
  5. Step 5: Solve for x
    x = 762,151,794.20/31,740.33
  6. Step 6: Final answer
    x = 24,012.09

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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.