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Finding the Fourth Proportional to 114,608.70, 171,856.53 and 47,128.41

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Solution

The fourth proportional to 114,608.70, 171,856.53 and 47,128.41 is: 70,669.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,608.70 : 171,856.53 = 47,128.41 : x
  2. Step 2: Convert to fraction form
    114,608.70/171,856.53 = 47,128.41/x
  3. Step 3: Cross multiply
    114,608.70x = 171,856.53 × 47,128.41
  4. Step 4: Simplify right side
    114,608.70x = 8,099,325,007.02
  5. Step 5: Solve for x
    x = 8,099,325,007.02/114,608.70
  6. Step 6: Final answer
    x = 70,669.37

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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.