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Finding the Fourth Proportional to 27,466, 41,199 and 11,050

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Solution

The fourth proportional to 27,466, 41,199 and 11,050 is: 16,575

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,466 : 41,199 = 11,050 : x
  2. Step 2: Convert to fraction form
    27,466/41,199 = 11,050/x
  3. Step 3: Cross multiply
    27,466x = 41,199 × 11,050
  4. Step 4: Simplify right side
    27,466x = 455,248,950
  5. Step 5: Solve for x
    x = 455,248,950/27,466
  6. Step 6: Final answer
    x = 16,575

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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.