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Finding the Fourth Proportional to 29,806.56, 44,709.75 and 7,619.94

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Solution

The fourth proportional to 29,806.56, 44,709.75 and 7,619.94 is: 11,429.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,806.56 : 44,709.75 = 7,619.94 : x
  2. Step 2: Convert to fraction form
    29,806.56/44,709.75 = 7,619.94/x
  3. Step 3: Cross multiply
    29,806.56x = 44,709.75 × 7,619.94
  4. Step 4: Simplify right side
    29,806.56x = 340,685,612.42
  5. Step 5: Solve for x
    x = 340,685,612.42/29,806.56
  6. Step 6: Final answer
    x = 11,429.89

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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.