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Finding the Fourth Proportional to 109,808.76, 164,775.42 and 50,644.46

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Solution

The fourth proportional to 109,808.76, 164,775.42 and 50,644.46 is: 75,995.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,808.76 : 164,775.42 = 50,644.46 : x
  2. Step 2: Convert to fraction form
    109,808.76/164,775.42 = 50,644.46/x
  3. Step 3: Cross multiply
    109,808.76x = 164,775.42 × 50,644.46
  4. Step 4: Simplify right side
    109,808.76x = 8,344,962,167.17
  5. Step 5: Solve for x
    x = 8,344,962,167.17/109,808.76
  6. Step 6: Final answer
    x = 75,995.41

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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.