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Finding the Fourth Proportional to 65,207.20, 97,695.60 and 53,456.80

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Solution

The fourth proportional to 65,207.20, 97,695.60 and 53,456.80 is: 80,090.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,207.20 : 97,695.60 = 53,456.80 : x
  2. Step 2: Convert to fraction form
    65,207.20/97,695.60 = 53,456.80/x
  3. Step 3: Cross multiply
    65,207.20x = 97,695.60 × 53,456.80
  4. Step 4: Simplify right side
    65,207.20x = 5,222,494,150.08
  5. Step 5: Solve for x
    x = 5,222,494,150.08/65,207.20
  6. Step 6: Final answer
    x = 80,090.76

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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.