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Finding the Fourth Proportional to 57,827.97, 79,758.56 and 49,775.32

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Solution

The fourth proportional to 57,827.97, 79,758.56 and 49,775.32 is: 68,652.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,827.97 : 79,758.56 = 49,775.32 : x
  2. Step 2: Convert to fraction form
    57,827.97/79,758.56 = 49,775.32/x
  3. Step 3: Cross multiply
    57,827.97x = 79,758.56 × 49,775.32
  4. Step 4: Simplify right side
    57,827.97x = 3,970,007,846.74
  5. Step 5: Solve for x
    x = 3,970,007,846.74/57,827.97
  6. Step 6: Final answer
    x = 68,652.04

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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.