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Finding the Fourth Proportional to 36,744.68, 50,707.38 and 19,977.80

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Solution

The fourth proportional to 36,744.68, 50,707.38 and 19,977.80 is: 27,569.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,744.68 : 50,707.38 = 19,977.80 : x
  2. Step 2: Convert to fraction form
    36,744.68/50,707.38 = 19,977.80/x
  3. Step 3: Cross multiply
    36,744.68x = 50,707.38 × 19,977.80
  4. Step 4: Simplify right side
    36,744.68x = 1,013,021,896.16
  5. Step 5: Solve for x
    x = 1,013,021,896.16/36,744.68
  6. Step 6: Final answer
    x = 27,569.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.