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Finding the Fourth Proportional to 50,047.08, 69,064.36 and 27,385.82

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Solution

The fourth proportional to 50,047.08, 69,064.36 and 27,385.82 is: 37,792.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,047.08 : 69,064.36 = 27,385.82 : x
  2. Step 2: Convert to fraction form
    50,047.08/69,064.36 = 27,385.82/x
  3. Step 3: Cross multiply
    50,047.08x = 69,064.36 × 27,385.82
  4. Step 4: Simplify right side
    50,047.08x = 1,891,384,131.38
  5. Step 5: Solve for x
    x = 1,891,384,131.38/50,047.08
  6. Step 6: Final answer
    x = 37,792.10

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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.