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Finding the Fourth Proportional to 29,896.65, 44,847.55 and 7,709.84

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Solution

The fourth proportional to 29,896.65, 44,847.55 and 7,709.84 is: 11,565.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,896.65 : 44,847.55 = 7,709.84 : x
  2. Step 2: Convert to fraction form
    29,896.65/44,847.55 = 7,709.84/x
  3. Step 3: Cross multiply
    29,896.65x = 44,847.55 × 7,709.84
  4. Step 4: Simplify right side
    29,896.65x = 345,767,434.89
  5. Step 5: Solve for x
    x = 345,767,434.89/29,896.65
  6. Step 6: Final answer
    x = 11,565.42

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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.