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Finding the Fourth Proportional to 116,132.40, 174,198.22 and 31,892.64

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Solution

The fourth proportional to 116,132.40, 174,198.22 and 31,892.64 is: 47,838.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,132.40 : 174,198.22 = 31,892.64 : x
  2. Step 2: Convert to fraction form
    116,132.40/174,198.22 = 31,892.64/x
  3. Step 3: Cross multiply
    116,132.40x = 174,198.22 × 31,892.64
  4. Step 4: Simplify right side
    116,132.40x = 5,555,641,119.10
  5. Step 5: Solve for x
    x = 5,555,641,119.10/116,132.40
  6. Step 6: Final answer
    x = 47,838.86

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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.