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Finding the Fourth Proportional to 71,561.37, 107,338.64 and 27,184.67

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Solution

The fourth proportional to 71,561.37, 107,338.64 and 27,184.67 is: 40,775.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,561.37 : 107,338.64 = 27,184.67 : x
  2. Step 2: Convert to fraction form
    71,561.37/107,338.64 = 27,184.67/x
  3. Step 3: Cross multiply
    71,561.37x = 107,338.64 × 27,184.67
  4. Step 4: Simplify right side
    71,561.37x = 2,917,964,834.03
  5. Step 5: Solve for x
    x = 2,917,964,834.03/71,561.37
  6. Step 6: Final answer
    x = 40,775.70

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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.