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Finding the Fourth Proportional to 92,165.12, 138,247.44 and 36,800

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Solution

The fourth proportional to 92,165.12, 138,247.44 and 36,800 is: 55,199.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,165.12 : 138,247.44 = 36,800 : x
  2. Step 2: Convert to fraction form
    92,165.12/138,247.44 = 36,800/x
  3. Step 3: Cross multiply
    92,165.12x = 138,247.44 × 36,800
  4. Step 4: Simplify right side
    92,165.12x = 5,087,505,792
  5. Step 5: Solve for x
    x = 5,087,505,792/92,165.12
  6. Step 6: Final answer
    x = 55,199.90

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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.