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Finding the Fourth Proportional to 116,191.86, 174,269.56 and 31,958.34

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Solution

The fourth proportional to 116,191.86, 174,269.56 and 31,958.34 is: 47,932.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,191.86 : 174,269.56 = 31,958.34 : x
  2. Step 2: Convert to fraction form
    116,191.86/174,269.56 = 31,958.34/x
  3. Step 3: Cross multiply
    116,191.86x = 174,269.56 × 31,958.34
  4. Step 4: Simplify right side
    116,191.86x = 5,569,365,850.13
  5. Step 5: Solve for x
    x = 5,569,365,850.13/116,191.86
  6. Step 6: Final answer
    x = 47,932.50

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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.