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Finding the Fourth Proportional to 51,950.82, 77,907.77 and 18,213.15

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Solution

The fourth proportional to 51,950.82, 77,907.77 and 18,213.15 is: 27,313.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,950.82 : 77,907.77 = 18,213.15 : x
  2. Step 2: Convert to fraction form
    51,950.82/77,907.77 = 18,213.15/x
  3. Step 3: Cross multiply
    51,950.82x = 77,907.77 × 18,213.15
  4. Step 4: Simplify right side
    51,950.82x = 1,418,946,273.01
  5. Step 5: Solve for x
    x = 1,418,946,273.01/51,950.82
  6. Step 6: Final answer
    x = 27,313.26

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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.