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Finding the Fourth Proportional to 42,369.26, 58,469.64 and 23,506.40

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Solution

The fourth proportional to 42,369.26, 58,469.64 and 23,506.40 is: 32,438.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,369.26 : 58,469.64 = 23,506.40 : x
  2. Step 2: Convert to fraction form
    42,369.26/58,469.64 = 23,506.40/x
  3. Step 3: Cross multiply
    42,369.26x = 58,469.64 × 23,506.40
  4. Step 4: Simplify right side
    42,369.26x = 1,374,410,745.70
  5. Step 5: Solve for x
    x = 1,374,410,745.70/42,369.26
  6. Step 6: Final answer
    x = 32,438.87

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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.