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Finding the Fourth Proportional to 47,834.94, 71,524.50 and 43,652.22

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Solution

The fourth proportional to 47,834.94, 71,524.50 and 43,652.22 is: 65,270.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,834.94 : 71,524.50 = 43,652.22 : x
  2. Step 2: Convert to fraction form
    47,834.94/71,524.50 = 43,652.22/x
  3. Step 3: Cross multiply
    47,834.94x = 71,524.50 × 43,652.22
  4. Step 4: Simplify right side
    47,834.94x = 3,122,203,209.39
  5. Step 5: Solve for x
    x = 3,122,203,209.39/47,834.94
  6. Step 6: Final answer
    x = 65,270.35

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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.