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Finding the Fourth Proportional to 31,282.30, 43,169.34 and 17,135.20

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Solution

The fourth proportional to 31,282.30, 43,169.34 and 17,135.20 is: 23,646.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,282.30 : 43,169.34 = 17,135.20 : x
  2. Step 2: Convert to fraction form
    31,282.30/43,169.34 = 17,135.20/x
  3. Step 3: Cross multiply
    31,282.30x = 43,169.34 × 17,135.20
  4. Step 4: Simplify right side
    31,282.30x = 739,715,274.77
  5. Step 5: Solve for x
    x = 739,715,274.77/31,282.30
  6. Step 6: Final answer
    x = 23,646.45

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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.