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Finding the Fourth Proportional to 31,087.77, 46,640.77 and 10,027.39

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Solution

The fourth proportional to 31,087.77, 46,640.77 and 10,027.39 is: 15,044.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,087.77 : 46,640.77 = 10,027.39 : x
  2. Step 2: Convert to fraction form
    31,087.77/46,640.77 = 10,027.39/x
  3. Step 3: Cross multiply
    31,087.77x = 46,640.77 × 10,027.39
  4. Step 4: Simplify right side
    31,087.77x = 467,685,049.02
  5. Step 5: Solve for x
    x = 467,685,049.02/31,087.77
  6. Step 6: Final answer
    x = 15,044.02

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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.