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Finding the Fourth Proportional to 29,767.75, 44,658.16 and 8,709.57

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Solution

The fourth proportional to 29,767.75, 44,658.16 and 8,709.57 is: 13,066.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,767.75 : 44,658.16 = 8,709.57 : x
  2. Step 2: Convert to fraction form
    29,767.75/44,658.16 = 8,709.57/x
  3. Step 3: Cross multiply
    29,767.75x = 44,658.16 × 8,709.57
  4. Step 4: Simplify right side
    29,767.75x = 388,953,438.69
  5. Step 5: Solve for x
    x = 388,953,438.69/29,767.75
  6. Step 6: Final answer
    x = 13,066.27

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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.