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Finding the Fourth Proportional to 81,566.87, 122,345.44 and 48,497.40

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Solution

The fourth proportional to 81,566.87, 122,345.44 and 48,497.40 is: 72,743.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,566.87 : 122,345.44 = 48,497.40 : x
  2. Step 2: Convert to fraction form
    81,566.87/122,345.44 = 48,497.40/x
  3. Step 3: Cross multiply
    81,566.87x = 122,345.44 × 48,497.40
  4. Step 4: Simplify right side
    81,566.87x = 5,933,435,620.61
  5. Step 5: Solve for x
    x = 5,933,435,620.61/81,566.87
  6. Step 6: Final answer
    x = 72,743.21

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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.