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Finding the Fourth Proportional to 80,992.80, 121,431.60 and 31,053.60

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Solution

The fourth proportional to 80,992.80, 121,431.60 and 31,053.60 is: 46,558.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,992.80 : 121,431.60 = 31,053.60 : x
  2. Step 2: Convert to fraction form
    80,992.80/121,431.60 = 31,053.60/x
  3. Step 3: Cross multiply
    80,992.80x = 121,431.60 × 31,053.60
  4. Step 4: Simplify right side
    80,992.80x = 3,770,888,333.76
  5. Step 5: Solve for x
    x = 3,770,888,333.76/80,992.80
  6. Step 6: Final answer
    x = 46,558.32

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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.