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Finding the Fourth Proportional to 71,771.22, 107,674.62 and 34,359.72

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Solution

The fourth proportional to 71,771.22, 107,674.62 and 34,359.72 is: 51,548.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,771.22 : 107,674.62 = 34,359.72 : x
  2. Step 2: Convert to fraction form
    71,771.22/107,674.62 = 34,359.72/x
  3. Step 3: Cross multiply
    71,771.22x = 107,674.62 × 34,359.72
  4. Step 4: Simplify right side
    71,771.22x = 3,699,669,794.31
  5. Step 5: Solve for x
    x = 3,699,669,794.31/71,771.22
  6. Step 6: Final answer
    x = 51,548.10

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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.