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Finding the Fourth Proportional to 36,506.42, 50,401.66 and 27,992.18

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Solution

The fourth proportional to 36,506.42, 50,401.66 and 27,992.18 is: 38,646.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,506.42 : 50,401.66 = 27,992.18 : x
  2. Step 2: Convert to fraction form
    36,506.42/50,401.66 = 27,992.18/x
  3. Step 3: Cross multiply
    36,506.42x = 50,401.66 × 27,992.18
  4. Step 4: Simplify right side
    36,506.42x = 1,410,852,269.04
  5. Step 5: Solve for x
    x = 1,410,852,269.04/36,506.42
  6. Step 6: Final answer
    x = 38,646.69

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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.