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Finding the Fourth Proportional to 36,541.50, 54,814.05 and 11,917.50

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Solution

The fourth proportional to 36,541.50, 54,814.05 and 11,917.50 is: 17,876.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,541.50 : 54,814.05 = 11,917.50 : x
  2. Step 2: Convert to fraction form
    36,541.50/54,814.05 = 11,917.50/x
  3. Step 3: Cross multiply
    36,541.50x = 54,814.05 × 11,917.50
  4. Step 4: Simplify right side
    36,541.50x = 653,246,440.88
  5. Step 5: Solve for x
    x = 653,246,440.88/36,541.50
  6. Step 6: Final answer
    x = 17,876.84

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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.