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Finding the Fourth Proportional to 82,116.56, 113,321.02 and 44,390.80

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Solution

The fourth proportional to 82,116.56, 113,321.02 and 44,390.80 is: 61,259.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,116.56 : 113,321.02 = 44,390.80 : x
  2. Step 2: Convert to fraction form
    82,116.56/113,321.02 = 44,390.80/x
  3. Step 3: Cross multiply
    82,116.56x = 113,321.02 × 44,390.80
  4. Step 4: Simplify right side
    82,116.56x = 5,030,410,734.62
  5. Step 5: Solve for x
    x = 5,030,410,734.62/82,116.56
  6. Step 6: Final answer
    x = 61,259.39

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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.