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Finding the Fourth Proportional to 109,708.20, 164,430 and 50,462.64

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Solution

The fourth proportional to 109,708.20, 164,430 and 50,462.64 is: 75,633.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,708.20 : 164,430 = 50,462.64 : x
  2. Step 2: Convert to fraction form
    109,708.20/164,430 = 50,462.64/x
  3. Step 3: Cross multiply
    109,708.20x = 164,430 × 50,462.64
  4. Step 4: Simplify right side
    109,708.20x = 8,297,571,895.20
  5. Step 5: Solve for x
    x = 8,297,571,895.20/109,708.20
  6. Step 6: Final answer
    x = 75,633.11

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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.