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Finding the Fourth Proportional to 31,994.06, 47,991.07 and 17,182.60

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Solution

The fourth proportional to 31,994.06, 47,991.07 and 17,182.60 is: 25,773.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,994.06 : 47,991.07 = 17,182.60 : x
  2. Step 2: Convert to fraction form
    31,994.06/47,991.07 = 17,182.60/x
  3. Step 3: Cross multiply
    31,994.06x = 47,991.07 × 17,182.60
  4. Step 4: Simplify right side
    31,994.06x = 824,611,359.38
  5. Step 5: Solve for x
    x = 824,611,359.38/31,994.06
  6. Step 6: Final answer
    x = 25,773.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.