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Finding the Fourth Proportional to 100,389.14, 150,353.87 and 50,483.42

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Solution

The fourth proportional to 100,389.14, 150,353.87 and 50,483.42 is: 75,609.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,389.14 : 150,353.87 = 50,483.42 : x
  2. Step 2: Convert to fraction form
    100,389.14/150,353.87 = 50,483.42/x
  3. Step 3: Cross multiply
    100,389.14x = 150,353.87 × 50,483.42
  4. Step 4: Simplify right side
    100,389.14x = 7,590,376,563.65
  5. Step 5: Solve for x
    x = 7,590,376,563.65/100,389.14
  6. Step 6: Final answer
    x = 75,609.54

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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.