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Finding the Fourth Proportional to 82,525.75, 113,886.92 and 44,800

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Solution

The fourth proportional to 82,525.75, 113,886.92 and 44,800 is: 61,824.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,525.75 : 113,886.92 = 44,800 : x
  2. Step 2: Convert to fraction form
    82,525.75/113,886.92 = 44,800/x
  3. Step 3: Cross multiply
    82,525.75x = 113,886.92 × 44,800
  4. Step 4: Simplify right side
    82,525.75x = 5,102,134,016
  5. Step 5: Solve for x
    x = 5,102,134,016/82,525.75
  6. Step 6: Final answer
    x = 61,824.75

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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.