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Finding the Fourth Proportional to 35,834.23, 49,458.09 and 23,734.86

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Solution

The fourth proportional to 35,834.23, 49,458.09 and 23,734.86 is: 32,758.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,834.23 : 49,458.09 = 23,734.86 : x
  2. Step 2: Convert to fraction form
    35,834.23/49,458.09 = 23,734.86/x
  3. Step 3: Cross multiply
    35,834.23x = 49,458.09 × 23,734.86
  4. Step 4: Simplify right side
    35,834.23x = 1,173,880,745.56
  5. Step 5: Solve for x
    x = 1,173,880,745.56/35,834.23
  6. Step 6: Final answer
    x = 32,758.64

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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.