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Finding the Fourth Proportional to 116,028.64, 174,043.09 and 31,789.65

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Solution

The fourth proportional to 116,028.64, 174,043.09 and 31,789.65 is: 47,684.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,028.64 : 174,043.09 = 31,789.65 : x
  2. Step 2: Convert to fraction form
    116,028.64/174,043.09 = 31,789.65/x
  3. Step 3: Cross multiply
    116,028.64x = 174,043.09 × 31,789.65
  4. Step 4: Simplify right side
    116,028.64x = 5,532,768,916.02
  5. Step 5: Solve for x
    x = 5,532,768,916.02/116,028.64
  6. Step 6: Final answer
    x = 47,684.51

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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.