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Finding the Fourth Proportional to 31,611.50, 43,624.74 and 17,465.25

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Solution

The fourth proportional to 31,611.50, 43,624.74 and 17,465.25 is: 24,102.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,611.50 : 43,624.74 = 17,465.25 : x
  2. Step 2: Convert to fraction form
    31,611.50/43,624.74 = 17,465.25/x
  3. Step 3: Cross multiply
    31,611.50x = 43,624.74 × 17,465.25
  4. Step 4: Simplify right side
    31,611.50x = 761,916,990.29
  5. Step 5: Solve for x
    x = 761,916,990.29/31,611.50
  6. Step 6: Final answer
    x = 24,102.53

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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.