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Finding the Fourth Proportional to 51,569, 71,161.38 and 29,212.52

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Solution

The fourth proportional to 51,569, 71,161.38 and 29,212.52 is: 40,311.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,569 : 71,161.38 = 29,212.52 : x
  2. Step 2: Convert to fraction form
    51,569/71,161.38 = 29,212.52/x
  3. Step 3: Cross multiply
    51,569x = 71,161.38 × 29,212.52
  4. Step 4: Simplify right side
    51,569x = 2,078,803,236.48
  5. Step 5: Solve for x
    x = 2,078,803,236.48/51,569
  6. Step 6: Final answer
    x = 40,311.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.