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Finding the Fourth Proportional to 31,193.46, 43,046.80 and 17,046.30

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Solution

The fourth proportional to 31,193.46, 43,046.80 and 17,046.30 is: 23,523.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,193.46 : 43,046.80 = 17,046.30 : x
  2. Step 2: Convert to fraction form
    31,193.46/43,046.80 = 17,046.30/x
  3. Step 3: Cross multiply
    31,193.46x = 43,046.80 × 17,046.30
  4. Step 4: Simplify right side
    31,193.46x = 733,788,666.84
  5. Step 5: Solve for x
    x = 733,788,666.84/31,193.46
  6. Step 6: Final answer
    x = 23,523.80

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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.