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Finding the Fourth Proportional to 50,491.72, 75,737.87 and 15,431.37

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Solution

The fourth proportional to 50,491.72, 75,737.87 and 15,431.37 is: 23,147.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,491.72 : 75,737.87 = 15,431.37 : x
  2. Step 2: Convert to fraction form
    50,491.72/75,737.87 = 15,431.37/x
  3. Step 3: Cross multiply
    50,491.72x = 75,737.87 × 15,431.37
  4. Step 4: Simplify right side
    50,491.72x = 1,168,739,094.98
  5. Step 5: Solve for x
    x = 1,168,739,094.98/50,491.72
  6. Step 6: Final answer
    x = 23,147.14

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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.