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Finding the Fourth Proportional to 29,746, 44,619 and 11,278

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Solution

The fourth proportional to 29,746, 44,619 and 11,278 is: 16,917

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,746 : 44,619 = 11,278 : x
  2. Step 2: Convert to fraction form
    29,746/44,619 = 11,278/x
  3. Step 3: Cross multiply
    29,746x = 44,619 × 11,278
  4. Step 4: Simplify right side
    29,746x = 503,213,082
  5. Step 5: Solve for x
    x = 503,213,082/29,746
  6. Step 6: Final answer
    x = 16,917

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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.