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Finding the Fourth Proportional to 72,889, 109,340.25 and 33,440.38

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Solution

The fourth proportional to 72,889, 109,340.25 and 33,440.38 is: 50,163.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,889 : 109,340.25 = 33,440.38 : x
  2. Step 2: Convert to fraction form
    72,889/109,340.25 = 33,440.38/x
  3. Step 3: Cross multiply
    72,889x = 109,340.25 × 33,440.38
  4. Step 4: Simplify right side
    72,889x = 3,656,379,509.30
  5. Step 5: Solve for x
    x = 3,656,379,509.30/72,889
  6. Step 6: Final answer
    x = 50,163.67

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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.