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Finding the Fourth Proportional to 82,344, 113,634.72 and 44,618.28

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Solution

The fourth proportional to 82,344, 113,634.72 and 44,618.28 is: 61,573.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,344 : 113,634.72 = 44,618.28 : x
  2. Step 2: Convert to fraction form
    82,344/113,634.72 = 44,618.28/x
  3. Step 3: Cross multiply
    82,344x = 113,634.72 × 44,618.28
  4. Step 4: Simplify right side
    82,344x = 5,070,185,754.68
  5. Step 5: Solve for x
    x = 5,070,185,754.68/82,344
  6. Step 6: Final answer
    x = 61,573.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.