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Finding the Fourth Proportional to 36,585, 54,886.14 and 11,961

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Solution

The fourth proportional to 36,585, 54,886.14 and 11,961 is: 17,944.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,585 : 54,886.14 = 11,961 : x
  2. Step 2: Convert to fraction form
    36,585/54,886.14 = 11,961/x
  3. Step 3: Cross multiply
    36,585x = 54,886.14 × 11,961
  4. Step 4: Simplify right side
    36,585x = 656,493,120.54
  5. Step 5: Solve for x
    x = 656,493,120.54/36,585
  6. Step 6: Final answer
    x = 17,944.32

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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.