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Finding the Fourth Proportional to 31,490, 43,456.24 and 17,342.80

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Solution

The fourth proportional to 31,490, 43,456.24 and 17,342.80 is: 23,933.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,490 : 43,456.24 = 17,342.80 : x
  2. Step 2: Convert to fraction form
    31,490/43,456.24 = 17,342.80/x
  3. Step 3: Cross multiply
    31,490x = 43,456.24 × 17,342.80
  4. Step 4: Simplify right side
    31,490x = 753,652,879.07
  5. Step 5: Solve for x
    x = 753,652,879.07/31,490
  6. Step 6: Final answer
    x = 23,933.09

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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.