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Finding the Fourth Proportional to 47,222.80, 65,233.80 and 44,734.48

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Solution

The fourth proportional to 47,222.80, 65,233.80 and 44,734.48 is: 61,796.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,222.80 : 65,233.80 = 44,734.48 : x
  2. Step 2: Convert to fraction form
    47,222.80/65,233.80 = 44,734.48/x
  3. Step 3: Cross multiply
    47,222.80x = 65,233.80 × 44,734.48
  4. Step 4: Simplify right side
    47,222.80x = 2,918,200,121.42
  5. Step 5: Solve for x
    x = 2,918,200,121.42/47,222.80
  6. Step 6: Final answer
    x = 61,796.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.