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Finding the Fourth Proportional to 29,954, 44,931 and 8,066

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Solution

The fourth proportional to 29,954, 44,931 and 8,066 is: 12,099

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,954 : 44,931 = 8,066 : x
  2. Step 2: Convert to fraction form
    29,954/44,931 = 8,066/x
  3. Step 3: Cross multiply
    29,954x = 44,931 × 8,066
  4. Step 4: Simplify right side
    29,954x = 362,413,446
  5. Step 5: Solve for x
    x = 362,413,446/29,954
  6. Step 6: Final answer
    x = 12,099

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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.