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Finding the Fourth Proportional to 70,527.54, 105,760.09 and 33,057.35

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Solution

The fourth proportional to 70,527.54, 105,760.09 and 33,057.35 is: 49,571.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,527.54 : 105,760.09 = 33,057.35 : x
  2. Step 2: Convert to fraction form
    70,527.54/105,760.09 = 33,057.35/x
  3. Step 3: Cross multiply
    70,527.54x = 105,760.09 × 33,057.35
  4. Step 4: Simplify right side
    70,527.54x = 3,496,148,311.16
  5. Step 5: Solve for x
    x = 3,496,148,311.16/70,527.54
  6. Step 6: Final answer
    x = 49,571.39

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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.