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Finding the Fourth Proportional to 71,435.85, 106,978.80 and 50,324.01

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Solution

The fourth proportional to 71,435.85, 106,978.80 and 50,324.01 is: 75,362.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,435.85 : 106,978.80 = 50,324.01 : x
  2. Step 2: Convert to fraction form
    71,435.85/106,978.80 = 50,324.01/x
  3. Step 3: Cross multiply
    71,435.85x = 106,978.80 × 50,324.01
  4. Step 4: Simplify right side
    71,435.85x = 5,383,602,200.99
  5. Step 5: Solve for x
    x = 5,383,602,200.99/71,435.85
  6. Step 6: Final answer
    x = 75,362.75

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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.