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Finding the Fourth Proportional to 82,484.97, 113,822.31 and 48,494.58

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Solution

The fourth proportional to 82,484.97, 113,822.31 and 48,494.58 is: 66,918.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,484.97 : 113,822.31 = 48,494.58 : x
  2. Step 2: Convert to fraction form
    82,484.97/113,822.31 = 48,494.58/x
  3. Step 3: Cross multiply
    82,484.97x = 113,822.31 × 48,494.58
  4. Step 4: Simplify right side
    82,484.97x = 5,519,765,118.08
  5. Step 5: Solve for x
    x = 5,519,765,118.08/82,484.97
  6. Step 6: Final answer
    x = 66,918.44

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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.