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Finding the Fourth Proportional to 36,129.49, 54,193.21 and 9,834.46

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Solution

The fourth proportional to 36,129.49, 54,193.21 and 9,834.46 is: 14,751.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,129.49 : 54,193.21 = 9,834.46 : x
  2. Step 2: Convert to fraction form
    36,129.49/54,193.21 = 9,834.46/x
  3. Step 3: Cross multiply
    36,129.49x = 54,193.21 × 9,834.46
  4. Step 4: Simplify right side
    36,129.49x = 532,960,956.02
  5. Step 5: Solve for x
    x = 532,960,956.02/36,129.49
  6. Step 6: Final answer
    x = 14,751.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.