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Finding the Fourth Proportional to 39,843.87, 59,751.86 and 11,756.47

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Solution

The fourth proportional to 39,843.87, 59,751.86 and 11,756.47 is: 17,630.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,843.87 : 59,751.86 = 11,756.47 : x
  2. Step 2: Convert to fraction form
    39,843.87/59,751.86 = 11,756.47/x
  3. Step 3: Cross multiply
    39,843.87x = 59,751.86 × 11,756.47
  4. Step 4: Simplify right side
    39,843.87x = 702,470,949.53
  5. Step 5: Solve for x
    x = 702,470,949.53/39,843.87
  6. Step 6: Final answer
    x = 17,630.59

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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.