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Finding the Fourth Proportional to 29,412, 44,118 and 7,524

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Solution

The fourth proportional to 29,412, 44,118 and 7,524 is: 11,286

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,412 : 44,118 = 7,524 : x
  2. Step 2: Convert to fraction form
    29,412/44,118 = 7,524/x
  3. Step 3: Cross multiply
    29,412x = 44,118 × 7,524
  4. Step 4: Simplify right side
    29,412x = 331,943,832
  5. Step 5: Solve for x
    x = 331,943,832/29,412
  6. Step 6: Final answer
    x = 11,286

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.