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Finding the Fourth Proportional to 32,834, 45,311.16 and 17,930

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Solution

The fourth proportional to 32,834, 45,311.16 and 17,930 is: 24,743.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,834 : 45,311.16 = 17,930 : x
  2. Step 2: Convert to fraction form
    32,834/45,311.16 = 17,930/x
  3. Step 3: Cross multiply
    32,834x = 45,311.16 × 17,930
  4. Step 4: Simplify right side
    32,834x = 812,429,098.80
  5. Step 5: Solve for x
    x = 812,429,098.80/32,834
  6. Step 6: Final answer
    x = 24,743.53

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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.