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Finding the Fourth Proportional to 29,750, 44,625 and 11,282

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Solution

The fourth proportional to 29,750, 44,625 and 11,282 is: 16,923

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,750 : 44,625 = 11,282 : x
  2. Step 2: Convert to fraction form
    29,750/44,625 = 11,282/x
  3. Step 3: Cross multiply
    29,750x = 44,625 × 11,282
  4. Step 4: Simplify right side
    29,750x = 503,459,250
  5. Step 5: Solve for x
    x = 503,459,250/29,750
  6. Step 6: Final answer
    x = 16,923

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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.