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Finding the Fourth Proportional to 116,072.66, 174,109.03 and 31,833.70

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Solution

The fourth proportional to 116,072.66, 174,109.03 and 31,833.70 is: 47,750.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,072.66 : 174,109.03 = 31,833.70 : x
  2. Step 2: Convert to fraction form
    116,072.66/174,109.03 = 31,833.70/x
  3. Step 3: Cross multiply
    116,072.66x = 174,109.03 × 31,833.70
  4. Step 4: Simplify right side
    116,072.66x = 5,542,534,628.31
  5. Step 5: Solve for x
    x = 5,542,534,628.31/116,072.66
  6. Step 6: Final answer
    x = 47,750.56

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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.