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Finding the Fourth Proportional to 50,699.32, 76,007.97 and 30,971.22

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Solution

The fourth proportional to 50,699.32, 76,007.97 and 30,971.22 is: 46,431.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,699.32 : 76,007.97 = 30,971.22 : x
  2. Step 2: Convert to fraction form
    50,699.32/76,007.97 = 30,971.22/x
  3. Step 3: Cross multiply
    50,699.32x = 76,007.97 × 30,971.22
  4. Step 4: Simplify right side
    50,699.32x = 2,354,059,560.62
  5. Step 5: Solve for x
    x = 2,354,059,560.62/50,699.32
  6. Step 6: Final answer
    x = 46,431.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.