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Finding the Fourth Proportional to 36,025, 54,037.74 and 11,401

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Solution

The fourth proportional to 36,025, 54,037.74 and 11,401 is: 17,101.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,025 : 54,037.74 = 11,401 : x
  2. Step 2: Convert to fraction form
    36,025/54,037.74 = 11,401/x
  3. Step 3: Cross multiply
    36,025x = 54,037.74 × 11,401
  4. Step 4: Simplify right side
    36,025x = 616,084,273.74
  5. Step 5: Solve for x
    x = 616,084,273.74/36,025
  6. Step 6: Final answer
    x = 17,101.58

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Why These Related Problems?

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