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Finding the Fourth Proportional to 51,784.87, 77,645.87 and 33,786.47

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Solution

The fourth proportional to 51,784.87, 77,645.87 and 33,786.47 is: 50,659.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,784.87 : 77,645.87 = 33,786.47 : x
  2. Step 2: Convert to fraction form
    51,784.87/77,645.87 = 33,786.47/x
  3. Step 3: Cross multiply
    51,784.87x = 77,645.87 × 33,786.47
  4. Step 4: Simplify right side
    51,784.87x = 2,623,379,718.09
  5. Step 5: Solve for x
    x = 2,623,379,718.09/51,784.87
  6. Step 6: Final answer
    x = 50,659.19

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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.