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Finding the Fourth Proportional to 31,939.01, 47,914.28 and 13,208.87

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Solution

The fourth proportional to 31,939.01, 47,914.28 and 13,208.87 is: 19,815.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,939.01 : 47,914.28 = 13,208.87 : x
  2. Step 2: Convert to fraction form
    31,939.01/47,914.28 = 13,208.87/x
  3. Step 3: Cross multiply
    31,939.01x = 47,914.28 × 13,208.87
  4. Step 4: Simplify right side
    31,939.01x = 632,893,190.05
  5. Step 5: Solve for x
    x = 632,893,190.05/31,939.01
  6. Step 6: Final answer
    x = 19,815.68

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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.