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Finding the Fourth Proportional to 57,397.80, 86,226.32 and 34,039.56

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Solution

The fourth proportional to 57,397.80, 86,226.32 and 34,039.56 is: 51,136.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,397.80 : 86,226.32 = 34,039.56 : x
  2. Step 2: Convert to fraction form
    57,397.80/86,226.32 = 34,039.56/x
  3. Step 3: Cross multiply
    57,397.80x = 86,226.32 × 34,039.56
  4. Step 4: Simplify right side
    57,397.80x = 2,935,105,993.22
  5. Step 5: Solve for x
    x = 2,935,105,993.22/57,397.80
  6. Step 6: Final answer
    x = 51,136.21

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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.