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Finding the Fourth Proportional to 100,965.92, 151,451.36 and 48,317.60

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Solution

The fourth proportional to 100,965.92, 151,451.36 and 48,317.60 is: 72,477.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,965.92 : 151,451.36 = 48,317.60 : x
  2. Step 2: Convert to fraction form
    100,965.92/151,451.36 = 48,317.60/x
  3. Step 3: Cross multiply
    100,965.92x = 151,451.36 × 48,317.60
  4. Step 4: Simplify right side
    100,965.92x = 7,317,766,231.94
  5. Step 5: Solve for x
    x = 7,317,766,231.94/100,965.92
  6. Step 6: Final answer
    x = 72,477.59

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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.