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Finding the Fourth Proportional to 82,764.62, 124,147.74 and 32,856.74

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Solution

The fourth proportional to 82,764.62, 124,147.74 and 32,856.74 is: 49,285.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,764.62 : 124,147.74 = 32,856.74 : x
  2. Step 2: Convert to fraction form
    82,764.62/124,147.74 = 32,856.74/x
  3. Step 3: Cross multiply
    82,764.62x = 124,147.74 × 32,856.74
  4. Step 4: Simplify right side
    82,764.62x = 4,079,090,014.77
  5. Step 5: Solve for x
    x = 4,079,090,014.77/82,764.62
  6. Step 6: Final answer
    x = 49,285.43

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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.