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Finding the Fourth Proportional to 71,744.74, 107,617.21 and 34,296.01

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Solution

The fourth proportional to 71,744.74, 107,617.21 and 34,296.01 is: 51,444.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,744.74 : 107,617.21 = 34,296.01 : x
  2. Step 2: Convert to fraction form
    71,744.74/107,617.21 = 34,296.01/x
  3. Step 3: Cross multiply
    71,744.74x = 107,617.21 × 34,296.01
  4. Step 4: Simplify right side
    71,744.74x = 3,690,840,555.55
  5. Step 5: Solve for x
    x = 3,690,840,555.55/71,744.74
  6. Step 6: Final answer
    x = 51,444.06

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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.