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Finding the Fourth Proportional to 31,107.70, 42,949.74 and 23,924.89

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Solution

The fourth proportional to 31,107.70, 42,949.74 and 23,924.89 is: 33,032.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,107.70 : 42,949.74 = 23,924.89 : x
  2. Step 2: Convert to fraction form
    31,107.70/42,949.74 = 23,924.89/x
  3. Step 3: Cross multiply
    31,107.70x = 42,949.74 × 23,924.89
  4. Step 4: Simplify right side
    31,107.70x = 1,027,567,805.03
  5. Step 5: Solve for x
    x = 1,027,567,805.03/31,107.70
  6. Step 6: Final answer
    x = 33,032.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.