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Finding the Fourth Proportional to 31,592, 47,388 and 9,704

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Solution

The fourth proportional to 31,592, 47,388 and 9,704 is: 14,556

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,592 : 47,388 = 9,704 : x
  2. Step 2: Convert to fraction form
    31,592/47,388 = 9,704/x
  3. Step 3: Cross multiply
    31,592x = 47,388 × 9,704
  4. Step 4: Simplify right side
    31,592x = 459,853,152
  5. Step 5: Solve for x
    x = 459,853,152/31,592
  6. Step 6: Final answer
    x = 14,556

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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.