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Finding the Fourth Proportional to 31,334, 47,001 and 9,446

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Solution

The fourth proportional to 31,334, 47,001 and 9,446 is: 14,169

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,334 : 47,001 = 9,446 : x
  2. Step 2: Convert to fraction form
    31,334/47,001 = 9,446/x
  3. Step 3: Cross multiply
    31,334x = 47,001 × 9,446
  4. Step 4: Simplify right side
    31,334x = 443,971,446
  5. Step 5: Solve for x
    x = 443,971,446/31,334
  6. Step 6: Final answer
    x = 14,169

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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.