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Finding the Fourth Proportional to 36,098.46, 54,152.13 and 12,410.82

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Solution

The fourth proportional to 36,098.46, 54,152.13 and 12,410.82 is: 18,617.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,098.46 : 54,152.13 = 12,410.82 : x
  2. Step 2: Convert to fraction form
    36,098.46/54,152.13 = 12,410.82/x
  3. Step 3: Cross multiply
    36,098.46x = 54,152.13 × 12,410.82
  4. Step 4: Simplify right side
    36,098.46x = 672,072,338.05
  5. Step 5: Solve for x
    x = 672,072,338.05/36,098.46
  6. Step 6: Final answer
    x = 18,617.76

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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.