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Finding the Fourth Proportional to 76,992.80, 115,544.48 and 32,631.93

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Solution

The fourth proportional to 76,992.80, 115,544.48 and 32,631.93 is: 48,971.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,992.80 : 115,544.48 = 32,631.93 : x
  2. Step 2: Convert to fraction form
    76,992.80/115,544.48 = 32,631.93/x
  3. Step 3: Cross multiply
    76,992.80x = 115,544.48 × 32,631.93
  4. Step 4: Simplify right side
    76,992.80x = 3,770,439,220.09
  5. Step 5: Solve for x
    x = 3,770,439,220.09/76,992.80
  6. Step 6: Final answer
    x = 48,971.33

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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.