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Finding the Fourth Proportional to 34,282.40, 47,310.06 and 20,135.48

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Solution

The fourth proportional to 34,282.40, 47,310.06 and 20,135.48 is: 27,787.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,282.40 : 47,310.06 = 20,135.48 : x
  2. Step 2: Convert to fraction form
    34,282.40/47,310.06 = 20,135.48/x
  3. Step 3: Cross multiply
    34,282.40x = 47,310.06 × 20,135.48
  4. Step 4: Simplify right side
    34,282.40x = 952,610,766.93
  5. Step 5: Solve for x
    x = 952,610,766.93/34,282.40
  6. Step 6: Final answer
    x = 27,787.17

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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.