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Finding the Fourth Proportional to 31,833.03, 47,934.50 and 23,571.57

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Solution

The fourth proportional to 31,833.03, 47,934.50 and 23,571.57 is: 35,494.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,833.03 : 47,934.50 = 23,571.57 : x
  2. Step 2: Convert to fraction form
    31,833.03/47,934.50 = 23,571.57/x
  3. Step 3: Cross multiply
    31,833.03x = 47,934.50 × 23,571.57
  4. Step 4: Simplify right side
    31,833.03x = 1,129,891,182.49
  5. Step 5: Solve for x
    x = 1,129,891,182.49/31,833.03
  6. Step 6: Final answer
    x = 35,494.31

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.