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Finding the Fourth Proportional to 31,611.66, 43,623.78 and 17,464.50

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Solution

The fourth proportional to 31,611.66, 43,623.78 and 17,464.50 is: 24,100.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,611.66 : 43,623.78 = 17,464.50 : x
  2. Step 2: Convert to fraction form
    31,611.66/43,623.78 = 17,464.50/x
  3. Step 3: Cross multiply
    31,611.66x = 43,623.78 × 17,464.50
  4. Step 4: Simplify right side
    31,611.66x = 761,867,505.81
  5. Step 5: Solve for x
    x = 761,867,505.81/31,611.66
  6. Step 6: Final answer
    x = 24,100.84

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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.