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Finding the Fourth Proportional to 50,645.63, 69,887.39 and 27,984.38

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Solution

The fourth proportional to 50,645.63, 69,887.39 and 27,984.38 is: 38,616.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,645.63 : 69,887.39 = 27,984.38 : x
  2. Step 2: Convert to fraction form
    50,645.63/69,887.39 = 27,984.38/x
  3. Step 3: Cross multiply
    50,645.63x = 69,887.39 × 27,984.38
  4. Step 4: Simplify right side
    50,645.63x = 1,955,755,139.05
  5. Step 5: Solve for x
    x = 1,955,755,139.05/50,645.63
  6. Step 6: Final answer
    x = 38,616.46

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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.