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Finding the Fourth Proportional to 116,028.14, 174,042.34 and 31,789.15

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Solution

The fourth proportional to 116,028.14, 174,042.34 and 31,789.15 is: 47,683.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,028.14 : 174,042.34 = 31,789.15 : x
  2. Step 2: Convert to fraction form
    116,028.14/174,042.34 = 31,789.15/x
  3. Step 3: Cross multiply
    116,028.14x = 174,042.34 × 31,789.15
  4. Step 4: Simplify right side
    116,028.14x = 5,532,657,538.03
  5. Step 5: Solve for x
    x = 5,532,657,538.03/116,028.14
  6. Step 6: Final answer
    x = 47,683.76

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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.