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Finding the Fourth Proportional to 82,619.56, 114,016.74 and 44,893.48

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Solution

The fourth proportional to 82,619.56, 114,016.74 and 44,893.48 is: 61,953.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,619.56 : 114,016.74 = 44,893.48 : x
  2. Step 2: Convert to fraction form
    82,619.56/114,016.74 = 44,893.48/x
  3. Step 3: Cross multiply
    82,619.56x = 114,016.74 × 44,893.48
  4. Step 4: Simplify right side
    82,619.56x = 5,118,608,236.86
  5. Step 5: Solve for x
    x = 5,118,608,236.86/82,619.56
  6. Step 6: Final answer
    x = 61,953.95

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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.