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Finding the Fourth Proportional to 47,503.50, 71,265.41 and 17,517.82

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Solution

The fourth proportional to 47,503.50, 71,265.41 and 17,517.82 is: 26,280.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,503.50 : 71,265.41 = 17,517.82 : x
  2. Step 2: Convert to fraction form
    47,503.50/71,265.41 = 17,517.82/x
  3. Step 3: Cross multiply
    47,503.50x = 71,265.41 × 17,517.82
  4. Step 4: Simplify right side
    47,503.50x = 1,248,414,607.44
  5. Step 5: Solve for x
    x = 1,248,414,607.44/47,503.50
  6. Step 6: Final answer
    x = 26,280.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.