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Finding the Fourth Proportional to 69,847.92, 96,502.86 and 48,721.50

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Solution

The fourth proportional to 69,847.92, 96,502.86 and 48,721.50 is: 67,314.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,847.92 : 96,502.86 = 48,721.50 : x
  2. Step 2: Convert to fraction form
    69,847.92/96,502.86 = 48,721.50/x
  3. Step 3: Cross multiply
    69,847.92x = 96,502.86 × 48,721.50
  4. Step 4: Simplify right side
    69,847.92x = 4,701,764,093.49
  5. Step 5: Solve for x
    x = 4,701,764,093.49/69,847.92
  6. Step 6: Final answer
    x = 67,314.30

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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.