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Finding the Fourth Proportional to 29,788, 44,682 and 7,900

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Solution

The fourth proportional to 29,788, 44,682 and 7,900 is: 11,850

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,788 : 44,682 = 7,900 : x
  2. Step 2: Convert to fraction form
    29,788/44,682 = 7,900/x
  3. Step 3: Cross multiply
    29,788x = 44,682 × 7,900
  4. Step 4: Simplify right side
    29,788x = 352,987,800
  5. Step 5: Solve for x
    x = 352,987,800/29,788
  6. Step 6: Final answer
    x = 11,850

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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.