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Finding the Fourth Proportional to 50,300.82, 69,414.90 and 27,641.22

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Solution

The fourth proportional to 50,300.82, 69,414.90 and 27,641.22 is: 38,144.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,300.82 : 69,414.90 = 27,641.22 : x
  2. Step 2: Convert to fraction form
    50,300.82/69,414.90 = 27,641.22/x
  3. Step 3: Cross multiply
    50,300.82x = 69,414.90 × 27,641.22
  4. Step 4: Simplify right side
    50,300.82x = 1,918,712,522.18
  5. Step 5: Solve for x
    x = 1,918,712,522.18/50,300.82
  6. Step 6: Final answer
    x = 38,144.76

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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.