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Finding the Fourth Proportional to 53,523.60, 80,261.10 and 20,232.60

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Solution

The fourth proportional to 53,523.60, 80,261.10 and 20,232.60 is: 30,339.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,523.60 : 80,261.10 = 20,232.60 : x
  2. Step 2: Convert to fraction form
    53,523.60/80,261.10 = 20,232.60/x
  3. Step 3: Cross multiply
    53,523.60x = 80,261.10 × 20,232.60
  4. Step 4: Simplify right side
    53,523.60x = 1,623,890,731.86
  5. Step 5: Solve for x
    x = 1,623,890,731.86/53,523.60
  6. Step 6: Final answer
    x = 30,339.71

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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.