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Finding the Fourth Proportional to 32,942.40, 45,460.17 and 17,834.66

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Solution

The fourth proportional to 32,942.40, 45,460.17 and 17,834.66 is: 24,611.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,942.40 : 45,460.17 = 17,834.66 : x
  2. Step 2: Convert to fraction form
    32,942.40/45,460.17 = 17,834.66/x
  3. Step 3: Cross multiply
    32,942.40x = 45,460.17 × 17,834.66
  4. Step 4: Simplify right side
    32,942.40x = 810,766,675.49
  5. Step 5: Solve for x
    x = 810,766,675.49/32,942.40
  6. Step 6: Final answer
    x = 24,611.65

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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.