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Finding the Fourth Proportional to 31,767.50, 43,844.40 and 17,624.90

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Solution

The fourth proportional to 31,767.50, 43,844.40 and 17,624.90 is: 24,325.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,767.50 : 43,844.40 = 17,624.90 : x
  2. Step 2: Convert to fraction form
    31,767.50/43,844.40 = 17,624.90/x
  3. Step 3: Cross multiply
    31,767.50x = 43,844.40 × 17,624.90
  4. Step 4: Simplify right side
    31,767.50x = 772,753,165.56
  5. Step 5: Solve for x
    x = 772,753,165.56/31,767.50
  6. Step 6: Final answer
    x = 24,325.27

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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.