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Finding the Fourth Proportional to 48,649.66, 72,949.46 and 22,331.50

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Solution

The fourth proportional to 48,649.66, 72,949.46 and 22,331.50 is: 33,485.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,649.66 : 72,949.46 = 22,331.50 : x
  2. Step 2: Convert to fraction form
    48,649.66/72,949.46 = 22,331.50/x
  3. Step 3: Cross multiply
    48,649.66x = 72,949.46 × 22,331.50
  4. Step 4: Simplify right side
    48,649.66x = 1,629,070,865.99
  5. Step 5: Solve for x
    x = 1,629,070,865.99/48,649.66
  6. Step 6: Final answer
    x = 33,485.76

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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.