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Finding the Fourth Proportional to 31,400.16, 47,100.39 and 8,026.59

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Solution

The fourth proportional to 31,400.16, 47,100.39 and 8,026.59 is: 12,039.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,400.16 : 47,100.39 = 8,026.59 : x
  2. Step 2: Convert to fraction form
    31,400.16/47,100.39 = 8,026.59/x
  3. Step 3: Cross multiply
    31,400.16x = 47,100.39 × 8,026.59
  4. Step 4: Simplify right side
    31,400.16x = 378,055,665.90
  5. Step 5: Solve for x
    x = 378,055,665.90/31,400.16
  6. Step 6: Final answer
    x = 12,039.93

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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.