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Finding the Fourth Proportional to 29,188.69, 43,788.49 and 9,464.67

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Solution

The fourth proportional to 29,188.69, 43,788.49 and 9,464.67 is: 14,198.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,188.69 : 43,788.49 = 9,464.67 : x
  2. Step 2: Convert to fraction form
    29,188.69/43,788.49 = 9,464.67/x
  3. Step 3: Cross multiply
    29,188.69x = 43,788.49 × 9,464.67
  4. Step 4: Simplify right side
    29,188.69x = 414,443,583.99
  5. Step 5: Solve for x
    x = 414,443,583.99/29,188.69
  6. Step 6: Final answer
    x = 14,198.77

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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.