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Finding the Fourth Proportional to 31,592.72, 47,388 and 9,406.10

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Solution

The fourth proportional to 31,592.72, 47,388 and 9,406.10 is: 14,108.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,592.72 : 47,388 = 9,406.10 : x
  2. Step 2: Convert to fraction form
    31,592.72/47,388 = 9,406.10/x
  3. Step 3: Cross multiply
    31,592.72x = 47,388 × 9,406.10
  4. Step 4: Simplify right side
    31,592.72x = 445,736,266.80
  5. Step 5: Solve for x
    x = 445,736,266.80/31,592.72
  6. Step 6: Final answer
    x = 14,108.83

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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.