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Finding the Fourth Proportional to 31,852.53, 47,785.95 and 10,791.36

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Solution

The fourth proportional to 31,852.53, 47,785.95 and 10,791.36 is: 16,189.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,852.53 : 47,785.95 = 10,791.36 : x
  2. Step 2: Convert to fraction form
    31,852.53/47,785.95 = 10,791.36/x
  3. Step 3: Cross multiply
    31,852.53x = 47,785.95 × 10,791.36
  4. Step 4: Simplify right side
    31,852.53x = 515,675,389.39
  5. Step 5: Solve for x
    x = 515,675,389.39/31,852.53
  6. Step 6: Final answer
    x = 16,189.46

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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.