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Finding the Fourth Proportional to 100,823.92, 151,200.64 and 29,727.69

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Solution

The fourth proportional to 100,823.92, 151,200.64 and 29,727.69 is: 44,581.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,823.92 : 151,200.64 = 29,727.69 : x
  2. Step 2: Convert to fraction form
    100,823.92/151,200.64 = 29,727.69/x
  3. Step 3: Cross multiply
    100,823.92x = 151,200.64 × 29,727.69
  4. Step 4: Simplify right side
    100,823.92x = 4,494,846,074.38
  5. Step 5: Solve for x
    x = 4,494,846,074.38/100,823.92
  6. Step 6: Final answer
    x = 44,581.15

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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.