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Finding the Fourth Proportional to 51,768.99, 71,424.02 and 42,192.41

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Solution

The fourth proportional to 51,768.99, 71,424.02 and 42,192.41 is: 58,211.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,768.99 : 71,424.02 = 42,192.41 : x
  2. Step 2: Convert to fraction form
    51,768.99/71,424.02 = 42,192.41/x
  3. Step 3: Cross multiply
    51,768.99x = 71,424.02 × 42,192.41
  4. Step 4: Simplify right side
    51,768.99x = 3,013,551,745.14
  5. Step 5: Solve for x
    x = 3,013,551,745.14/51,768.99
  6. Step 6: Final answer
    x = 58,211.52

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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.