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Finding the Fourth Proportional to 36,782.83, 50,756.18 and 21,674.51

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Solution

The fourth proportional to 36,782.83, 50,756.18 and 21,674.51 is: 29,908.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,782.83 : 50,756.18 = 21,674.51 : x
  2. Step 2: Convert to fraction form
    36,782.83/50,756.18 = 21,674.51/x
  3. Step 3: Cross multiply
    36,782.83x = 50,756.18 × 21,674.51
  4. Step 4: Simplify right side
    36,782.83x = 1,100,115,330.97
  5. Step 5: Solve for x
    x = 1,100,115,330.97/36,782.83
  6. Step 6: Final answer
    x = 29,908.39

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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.