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Finding the Fourth Proportional to 31,611.65, 43,626.33 and 17,464.19

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Solution

The fourth proportional to 31,611.65, 43,626.33 and 17,464.19 is: 24,101.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,611.65 : 43,626.33 = 17,464.19 : x
  2. Step 2: Convert to fraction form
    31,611.65/43,626.33 = 17,464.19/x
  3. Step 3: Cross multiply
    31,611.65x = 43,626.33 × 17,464.19
  4. Step 4: Simplify right side
    31,611.65x = 761,898,297.99
  5. Step 5: Solve for x
    x = 761,898,297.99/31,611.65
  6. Step 6: Final answer
    x = 24,101.82

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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.