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Finding the Fourth Proportional to 29,962, 44,943 and 8,074

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Solution

The fourth proportional to 29,962, 44,943 and 8,074 is: 12,111

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,962 : 44,943 = 8,074 : x
  2. Step 2: Convert to fraction form
    29,962/44,943 = 8,074/x
  3. Step 3: Cross multiply
    29,962x = 44,943 × 8,074
  4. Step 4: Simplify right side
    29,962x = 362,869,782
  5. Step 5: Solve for x
    x = 362,869,782/29,962
  6. Step 6: Final answer
    x = 12,111

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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.