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Finding the Fourth Proportional to 82,481.76, 123,722.37 and 56,121.12

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Solution

The fourth proportional to 82,481.76, 123,722.37 and 56,121.12 is: 84,181.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,481.76 : 123,722.37 = 56,121.12 : x
  2. Step 2: Convert to fraction form
    82,481.76/123,722.37 = 56,121.12/x
  3. Step 3: Cross multiply
    82,481.76x = 123,722.37 × 56,121.12
  4. Step 4: Simplify right side
    82,481.76x = 6,943,437,973.45
  5. Step 5: Solve for x
    x = 6,943,437,973.45/82,481.76
  6. Step 6: Final answer
    x = 84,181.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.