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Finding the Fourth Proportional to 65,203.20, 97,689.60 and 53,452.80

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Solution

The fourth proportional to 65,203.20, 97,689.60 and 53,452.80 is: 80,084.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,203.20 : 97,689.60 = 53,452.80 : x
  2. Step 2: Convert to fraction form
    65,203.20/97,689.60 = 53,452.80/x
  3. Step 3: Cross multiply
    65,203.20x = 97,689.60 × 53,452.80
  4. Step 4: Simplify right side
    65,203.20x = 5,221,782,650.88
  5. Step 5: Solve for x
    x = 5,221,782,650.88/65,203.20
  6. Step 6: Final answer
    x = 80,084.76

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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.