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Finding the Fourth Proportional to 51,741, 77,616.36 and 22,152.24

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Solution

The fourth proportional to 51,741, 77,616.36 and 22,152.24 is: 33,230.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,741 : 77,616.36 = 22,152.24 : x
  2. Step 2: Convert to fraction form
    51,741/77,616.36 = 22,152.24/x
  3. Step 3: Cross multiply
    51,741x = 77,616.36 × 22,152.24
  4. Step 4: Simplify right side
    51,741x = 1,719,376,234.65
  5. Step 5: Solve for x
    x = 1,719,376,234.65/51,741
  6. Step 6: Final answer
    x = 33,230.44

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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.