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Finding the Fourth Proportional to 36,038, 54,057.24 and 11,414

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Solution

The fourth proportional to 36,038, 54,057.24 and 11,414 is: 17,121.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,038 : 54,057.24 = 11,414 : x
  2. Step 2: Convert to fraction form
    36,038/54,057.24 = 11,414/x
  3. Step 3: Cross multiply
    36,038x = 54,057.24 × 11,414
  4. Step 4: Simplify right side
    36,038x = 617,009,337.36
  5. Step 5: Solve for x
    x = 617,009,337.36/36,038
  6. Step 6: Final answer
    x = 17,121.08

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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.