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Finding the Fourth Proportional to 35,834.42, 49,452.09 and 19,702.41

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Solution

The fourth proportional to 35,834.42, 49,452.09 and 19,702.41 is: 27,189.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,834.42 : 49,452.09 = 19,702.41 : x
  2. Step 2: Convert to fraction form
    35,834.42/49,452.09 = 19,702.41/x
  3. Step 3: Cross multiply
    35,834.42x = 49,452.09 × 19,702.41
  4. Step 4: Simplify right side
    35,834.42x = 974,325,352.54
  5. Step 5: Solve for x
    x = 974,325,352.54/35,834.42
  6. Step 6: Final answer
    x = 27,189.65

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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.