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Finding the Fourth Proportional to 109,480.50, 164,231.28 and 50,332.68

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Solution

The fourth proportional to 109,480.50, 164,231.28 and 50,332.68 is: 75,503.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,480.50 : 164,231.28 = 50,332.68 : x
  2. Step 2: Convert to fraction form
    109,480.50/164,231.28 = 50,332.68/x
  3. Step 3: Cross multiply
    109,480.50x = 164,231.28 × 50,332.68
  4. Step 4: Simplify right side
    109,480.50x = 8,266,200,462.23
  5. Step 5: Solve for x
    x = 8,266,200,462.23/109,480.50
  6. Step 6: Final answer
    x = 75,503.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.