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Finding the Fourth Proportional to 73,222.30, 109,840.74 and 33,790.70

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Solution

The fourth proportional to 73,222.30, 109,840.74 and 33,790.70 is: 50,689.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,222.30 : 109,840.74 = 33,790.70 : x
  2. Step 2: Convert to fraction form
    73,222.30/109,840.74 = 33,790.70/x
  3. Step 3: Cross multiply
    73,222.30x = 109,840.74 × 33,790.70
  4. Step 4: Simplify right side
    73,222.30x = 3,711,595,493.12
  5. Step 5: Solve for x
    x = 3,711,595,493.12/73,222.30
  6. Step 6: Final answer
    x = 50,689.41

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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.