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Finding the Fourth Proportional to 31,406.60, 43,343.50 and 17,982.06

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Solution

The fourth proportional to 31,406.60, 43,343.50 and 17,982.06 is: 24,816.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,406.60 : 43,343.50 = 17,982.06 : x
  2. Step 2: Convert to fraction form
    31,406.60/43,343.50 = 17,982.06/x
  3. Step 3: Cross multiply
    31,406.60x = 43,343.50 × 17,982.06
  4. Step 4: Simplify right side
    31,406.60x = 779,405,417.61
  5. Step 5: Solve for x
    x = 779,405,417.61/31,406.60
  6. Step 6: Final answer
    x = 24,816.61

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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.