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Finding the Fourth Proportional to 36,841.12, 50,856.06 and 27,891.16

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Solution

The fourth proportional to 36,841.12, 50,856.06 and 27,891.16 is: 38,501.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,841.12 : 50,856.06 = 27,891.16 : x
  2. Step 2: Convert to fraction form
    36,841.12/50,856.06 = 27,891.16/x
  3. Step 3: Cross multiply
    36,841.12x = 50,856.06 × 27,891.16
  4. Step 4: Simplify right side
    36,841.12x = 1,418,434,506.43
  5. Step 5: Solve for x
    x = 1,418,434,506.43/36,841.12
  6. Step 6: Final answer
    x = 38,501.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.