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Finding the Fourth Proportional to 31,891.49, 47,844.11 and 9,706.60

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Solution

The fourth proportional to 31,891.49, 47,844.11 and 9,706.60 is: 14,561.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,891.49 : 47,844.11 = 9,706.60 : x
  2. Step 2: Convert to fraction form
    31,891.49/47,844.11 = 9,706.60/x
  3. Step 3: Cross multiply
    31,891.49x = 47,844.11 × 9,706.60
  4. Step 4: Simplify right side
    31,891.49x = 464,403,542.78
  5. Step 5: Solve for x
    x = 464,403,542.78/31,891.49
  6. Step 6: Final answer
    x = 14,561.99

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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.