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Finding the Fourth Proportional to 70,614.48, 105,760.44 and 33,704.40

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Solution

The fourth proportional to 70,614.48, 105,760.44 and 33,704.40 is: 50,479.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,614.48 : 105,760.44 = 33,704.40 : x
  2. Step 2: Convert to fraction form
    70,614.48/105,760.44 = 33,704.40/x
  3. Step 3: Cross multiply
    70,614.48x = 105,760.44 × 33,704.40
  4. Step 4: Simplify right side
    70,614.48x = 3,564,592,173.94
  5. Step 5: Solve for x
    x = 3,564,592,173.94/70,614.48
  6. Step 6: Final answer
    x = 50,479.62

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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.