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Finding the Fourth Proportional to 65,293.20, 97,824.60 and 53,542.80

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Solution

The fourth proportional to 65,293.20, 97,824.60 and 53,542.80 is: 80,219.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,293.20 : 97,824.60 = 53,542.80 : x
  2. Step 2: Convert to fraction form
    65,293.20/97,824.60 = 53,542.80/x
  3. Step 3: Cross multiply
    65,293.20x = 97,824.60 × 53,542.80
  4. Step 4: Simplify right side
    65,293.20x = 5,237,802,992.88
  5. Step 5: Solve for x
    x = 5,237,802,992.88/65,293.20
  6. Step 6: Final answer
    x = 80,219.73

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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.