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Finding the Fourth Proportional to 29,706, 44,559.09 and 11,238

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Solution

The fourth proportional to 29,706, 44,559.09 and 11,238 is: 16,857.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,706 : 44,559.09 = 11,238 : x
  2. Step 2: Convert to fraction form
    29,706/44,559.09 = 11,238/x
  3. Step 3: Cross multiply
    29,706x = 44,559.09 × 11,238
  4. Step 4: Simplify right side
    29,706x = 500,755,053.42
  5. Step 5: Solve for x
    x = 500,755,053.42/29,706
  6. Step 6: Final answer
    x = 16,857.03

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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.