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Finding the Fourth Proportional to 34,154.46, 47,137.14 and 20,007

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Solution

The fourth proportional to 34,154.46, 47,137.14 and 20,007 is: 27,611.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,154.46 : 47,137.14 = 20,007 : x
  2. Step 2: Convert to fraction form
    34,154.46/47,137.14 = 20,007/x
  3. Step 3: Cross multiply
    34,154.46x = 47,137.14 × 20,007
  4. Step 4: Simplify right side
    34,154.46x = 943,072,759.98
  5. Step 5: Solve for x
    x = 943,072,759.98/34,154.46
  6. Step 6: Final answer
    x = 27,611.99

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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.