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Finding the Fourth Proportional to 57,747.80, 86,429.70 and 41,907.80

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Solution

The fourth proportional to 57,747.80, 86,429.70 and 41,907.80 is: 62,722.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,747.80 : 86,429.70 = 41,907.80 : x
  2. Step 2: Convert to fraction form
    57,747.80/86,429.70 = 41,907.80/x
  3. Step 3: Cross multiply
    57,747.80x = 86,429.70 × 41,907.80
  4. Step 4: Simplify right side
    57,747.80x = 3,622,078,581.66
  5. Step 5: Solve for x
    x = 3,622,078,581.66/57,747.80
  6. Step 6: Final answer
    x = 62,722.36

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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.