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Finding the Fourth Proportional to 31,265.66, 46,893.57 and 10,205.60

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Solution

The fourth proportional to 31,265.66, 46,893.57 and 10,205.60 is: 15,306.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,265.66 : 46,893.57 = 10,205.60 : x
  2. Step 2: Convert to fraction form
    31,265.66/46,893.57 = 10,205.60/x
  3. Step 3: Cross multiply
    31,265.66x = 46,893.57 × 10,205.60
  4. Step 4: Simplify right side
    31,265.66x = 478,576,745.25
  5. Step 5: Solve for x
    x = 478,576,745.25/31,265.66
  6. Step 6: Final answer
    x = 15,306.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.