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Finding the Fourth Proportional to 50,454.57, 69,632.77 and 27,795.88

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Solution

The fourth proportional to 50,454.57, 69,632.77 and 27,795.88 is: 38,361.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,454.57 : 69,632.77 = 27,795.88 : x
  2. Step 2: Convert to fraction form
    50,454.57/69,632.77 = 27,795.88/x
  3. Step 3: Cross multiply
    50,454.57x = 69,632.77 × 27,795.88
  4. Step 4: Simplify right side
    50,454.57x = 1,935,503,875.42
  5. Step 5: Solve for x
    x = 1,935,503,875.42/50,454.57
  6. Step 6: Final answer
    x = 38,361.32

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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.