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Finding the Fourth Proportional to 82,548.38, 113,917.23 and 44,822.63

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Solution

The fourth proportional to 82,548.38, 113,917.23 and 44,822.63 is: 61,855.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,548.38 : 113,917.23 = 44,822.63 : x
  2. Step 2: Convert to fraction form
    82,548.38/113,917.23 = 44,822.63/x
  3. Step 3: Cross multiply
    82,548.38x = 113,917.23 × 44,822.63
  4. Step 4: Simplify right side
    82,548.38x = 5,106,069,850.91
  5. Step 5: Solve for x
    x = 5,106,069,850.91/82,548.38
  6. Step 6: Final answer
    x = 61,855.48

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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.