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Finding the Fourth Proportional to 36,772, 55,165.68 and 14,884

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Solution

The fourth proportional to 36,772, 55,165.68 and 14,884 is: 22,329.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,772 : 55,165.68 = 14,884 : x
  2. Step 2: Convert to fraction form
    36,772/55,165.68 = 14,884/x
  3. Step 3: Cross multiply
    36,772x = 55,165.68 × 14,884
  4. Step 4: Simplify right side
    36,772x = 821,085,981.12
  5. Step 5: Solve for x
    x = 821,085,981.12/36,772
  6. Step 6: Final answer
    x = 22,329.11

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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.