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Finding the Fourth Proportional to 36,751.08, 50,716.80 and 19,984.08

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Solution

The fourth proportional to 36,751.08, 50,716.80 and 19,984.08 is: 27,578.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,751.08 : 50,716.80 = 19,984.08 : x
  2. Step 2: Convert to fraction form
    36,751.08/50,716.80 = 19,984.08/x
  3. Step 3: Cross multiply
    36,751.08x = 50,716.80 × 19,984.08
  4. Step 4: Simplify right side
    36,751.08x = 1,013,528,588.54
  5. Step 5: Solve for x
    x = 1,013,528,588.54/36,751.08
  6. Step 6: Final answer
    x = 27,578.20

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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.