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Finding the Fourth Proportional to 31,076.93, 46,617.02 and 8,893.58

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Solution

The fourth proportional to 31,076.93, 46,617.02 and 8,893.58 is: 13,340.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,076.93 : 46,617.02 = 8,893.58 : x
  2. Step 2: Convert to fraction form
    31,076.93/46,617.02 = 8,893.58/x
  3. Step 3: Cross multiply
    31,076.93x = 46,617.02 × 8,893.58
  4. Step 4: Simplify right side
    31,076.93x = 414,591,919.18
  5. Step 5: Solve for x
    x = 414,591,919.18/31,076.93
  6. Step 6: Final answer
    x = 13,340.83

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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.