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Finding the Fourth Proportional to 81,497.70, 122,246.55 and 64,767.15

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Solution

The fourth proportional to 81,497.70, 122,246.55 and 64,767.15 is: 97,150.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,497.70 : 122,246.55 = 64,767.15 : x
  2. Step 2: Convert to fraction form
    81,497.70/122,246.55 = 64,767.15/x
  3. Step 3: Cross multiply
    81,497.70x = 122,246.55 × 64,767.15
  4. Step 4: Simplify right side
    81,497.70x = 7,917,560,640.83
  5. Step 5: Solve for x
    x = 7,917,560,640.83/81,497.70
  6. Step 6: Final answer
    x = 97,150.73

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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.