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Finding the Fourth Proportional to 47,727, 71,576.73 and 14,439.24

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Solution

The fourth proportional to 47,727, 71,576.73 and 14,439.24 is: 21,654.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,727 : 71,576.73 = 14,439.24 : x
  2. Step 2: Convert to fraction form
    47,727/71,576.73 = 14,439.24/x
  3. Step 3: Cross multiply
    47,727x = 71,576.73 × 14,439.24
  4. Step 4: Simplify right side
    47,727x = 1,033,513,582.89
  5. Step 5: Solve for x
    x = 1,033,513,582.89/47,727
  6. Step 6: Final answer
    x = 21,654.69

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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.