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Finding the Fourth Proportional to 34,414.89, 47,488.32 and 20,265

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Solution

The fourth proportional to 34,414.89, 47,488.32 and 20,265 is: 27,963.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,414.89 : 47,488.32 = 20,265 : x
  2. Step 2: Convert to fraction form
    34,414.89/47,488.32 = 20,265/x
  3. Step 3: Cross multiply
    34,414.89x = 47,488.32 × 20,265
  4. Step 4: Simplify right side
    34,414.89x = 962,350,804.80
  5. Step 5: Solve for x
    x = 962,350,804.80/34,414.89
  6. Step 6: Final answer
    x = 27,963.21

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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.