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Finding the Fourth Proportional to 62,893.46, 86,792.31 and 34,214.00

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Solution

The fourth proportional to 62,893.46, 86,792.31 and 34,214.00 is: 47,214.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,893.46 : 86,792.31 = 34,214.00 : x
  2. Step 2: Convert to fraction form
    62,893.46/86,792.31 = 34,214.00/x
  3. Step 3: Cross multiply
    62,893.46x = 86,792.31 × 34,214.00
  4. Step 4: Simplify right side
    62,893.46x = 2,969,511,660.38
  5. Step 5: Solve for x
    x = 2,969,511,660.38/62,893.46
  6. Step 6: Final answer
    x = 47,214.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.