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Finding the Fourth Proportional to 29,751, 44,626.50 and 11,283

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Solution

The fourth proportional to 29,751, 44,626.50 and 11,283 is: 16,924.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,751 : 44,626.50 = 11,283 : x
  2. Step 2: Convert to fraction form
    29,751/44,626.50 = 11,283/x
  3. Step 3: Cross multiply
    29,751x = 44,626.50 × 11,283
  4. Step 4: Simplify right side
    29,751x = 503,520,799.50
  5. Step 5: Solve for x
    x = 503,520,799.50/29,751
  6. Step 6: Final answer
    x = 16,924.50

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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.