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Finding the Fourth Proportional to 34,640.36, 47,804.22 and 20,296.75

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Solution

The fourth proportional to 34,640.36, 47,804.22 and 20,296.75 is: 28,009.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,640.36 : 47,804.22 = 20,296.75 : x
  2. Step 2: Convert to fraction form
    34,640.36/47,804.22 = 20,296.75/x
  3. Step 3: Cross multiply
    34,640.36x = 47,804.22 × 20,296.75
  4. Step 4: Simplify right side
    34,640.36x = 970,270,302.29
  5. Step 5: Solve for x
    x = 970,270,302.29/34,640.36
  6. Step 6: Final answer
    x = 28,009.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.