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Finding the Fourth Proportional to 65,200.98, 97,782.30 and 27,760.62

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Solution

The fourth proportional to 65,200.98, 97,782.30 and 27,760.62 is: 41,632.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,200.98 : 97,782.30 = 27,760.62 : x
  2. Step 2: Convert to fraction form
    65,200.98/97,782.30 = 27,760.62/x
  3. Step 3: Cross multiply
    65,200.98x = 97,782.30 × 27,760.62
  4. Step 4: Simplify right side
    65,200.98x = 2,714,497,273.03
  5. Step 5: Solve for x
    x = 2,714,497,273.03/65,200.98
  6. Step 6: Final answer
    x = 41,632.77

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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.