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Finding the Fourth Proportional to 65,992, 91,069.44 and 36,184

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Solution

The fourth proportional to 65,992, 91,069.44 and 36,184 is: 49,934.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,992 : 91,069.44 = 36,184 : x
  2. Step 2: Convert to fraction form
    65,992/91,069.44 = 36,184/x
  3. Step 3: Cross multiply
    65,992x = 91,069.44 × 36,184
  4. Step 4: Simplify right side
    65,992x = 3,295,256,616.96
  5. Step 5: Solve for x
    x = 3,295,256,616.96/65,992
  6. Step 6: Final answer
    x = 49,934.18

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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.