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Finding the Fourth Proportional to 73,205.50, 109,849.78 and 33,762.64

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Solution

The fourth proportional to 73,205.50, 109,849.78 and 33,762.64 is: 50,663.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,205.50 : 109,849.78 = 33,762.64 : x
  2. Step 2: Convert to fraction form
    73,205.50/109,849.78 = 33,762.64/x
  3. Step 3: Cross multiply
    73,205.50x = 109,849.78 × 33,762.64
  4. Step 4: Simplify right side
    73,205.50x = 3,708,818,576.22
  5. Step 5: Solve for x
    x = 3,708,818,576.22/73,205.50
  6. Step 6: Final answer
    x = 50,663.11

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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.