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Finding the Fourth Proportional to 36,289, 54,433.54 and 14,401

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Solution

The fourth proportional to 36,289, 54,433.54 and 14,401 is: 21,601.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,289 : 54,433.54 = 14,401 : x
  2. Step 2: Convert to fraction form
    36,289/54,433.54 = 14,401/x
  3. Step 3: Cross multiply
    36,289x = 54,433.54 × 14,401
  4. Step 4: Simplify right side
    36,289x = 783,897,409.54
  5. Step 5: Solve for x
    x = 783,897,409.54/36,289
  6. Step 6: Final answer
    x = 21,601.52

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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.