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Finding the Fourth Proportional to 73,206.50, 109,851.28 and 33,763.64

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Solution

The fourth proportional to 73,206.50, 109,851.28 and 33,763.64 is: 50,664.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,206.50 : 109,851.28 = 33,763.64 : x
  2. Step 2: Convert to fraction form
    73,206.50/109,851.28 = 33,763.64/x
  3. Step 3: Cross multiply
    73,206.50x = 109,851.28 × 33,763.64
  4. Step 4: Simplify right side
    73,206.50x = 3,708,979,071.46
  5. Step 5: Solve for x
    x = 3,708,979,071.46/73,206.50
  6. Step 6: Final answer
    x = 50,664.61

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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.