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Finding the Fourth Proportional to 28,706.49, 43,053.26 and 10,238.49

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Solution

The fourth proportional to 28,706.49, 43,053.26 and 10,238.49 is: 15,355.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,706.49 : 43,053.26 = 10,238.49 : x
  2. Step 2: Convert to fraction form
    28,706.49/43,053.26 = 10,238.49/x
  3. Step 3: Cross multiply
    28,706.49x = 43,053.26 × 10,238.49
  4. Step 4: Simplify right side
    28,706.49x = 440,800,320.78
  5. Step 5: Solve for x
    x = 440,800,320.78/28,706.49
  6. Step 6: Final answer
    x = 15,355.42

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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.