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Finding the Fourth Proportional to 82,464.38, 113,801.08 and 44,738.64

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Solution

The fourth proportional to 82,464.38, 113,801.08 and 44,738.64 is: 61,739.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,464.38 : 113,801.08 = 44,738.64 : x
  2. Step 2: Convert to fraction form
    82,464.38/113,801.08 = 44,738.64/x
  3. Step 3: Cross multiply
    82,464.38x = 113,801.08 × 44,738.64
  4. Step 4: Simplify right side
    82,464.38x = 5,091,305,549.73
  5. Step 5: Solve for x
    x = 5,091,305,549.73/82,464.38
  6. Step 6: Final answer
    x = 61,739.45

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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.