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Finding the Fourth Proportional to 67,670.28, 101,447.10 and 32,634.54

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Solution

The fourth proportional to 67,670.28, 101,447.10 and 32,634.54 is: 48,923.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,670.28 : 101,447.10 = 32,634.54 : x
  2. Step 2: Convert to fraction form
    67,670.28/101,447.10 = 32,634.54/x
  3. Step 3: Cross multiply
    67,670.28x = 101,447.10 × 32,634.54
  4. Step 4: Simplify right side
    67,670.28x = 3,310,679,442.83
  5. Step 5: Solve for x
    x = 3,310,679,442.83/67,670.28
  6. Step 6: Final answer
    x = 48,923.68

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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.