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Finding the Fourth Proportional to 72,775.50, 109,163.23 and 20,184.99

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Solution

The fourth proportional to 72,775.50, 109,163.23 and 20,184.99 is: 30,277.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,775.50 : 109,163.23 = 20,184.99 : x
  2. Step 2: Convert to fraction form
    72,775.50/109,163.23 = 20,184.99/x
  3. Step 3: Cross multiply
    72,775.50x = 109,163.23 × 20,184.99
  4. Step 4: Simplify right side
    72,775.50x = 2,203,458,705.92
  5. Step 5: Solve for x
    x = 2,203,458,705.92/72,775.50
  6. Step 6: Final answer
    x = 30,277.48

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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.