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Finding the Fourth Proportional to 65,254.14, 97,789.61 and 27,763.49

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Solution

The fourth proportional to 65,254.14, 97,789.61 and 27,763.49 is: 41,606.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,254.14 : 97,789.61 = 27,763.49 : x
  2. Step 2: Convert to fraction form
    65,254.14/97,789.61 = 27,763.49/x
  3. Step 3: Cross multiply
    65,254.14x = 97,789.61 × 27,763.49
  4. Step 4: Simplify right side
    65,254.14x = 2,714,981,173.22
  5. Step 5: Solve for x
    x = 2,714,981,173.22/65,254.14
  6. Step 6: Final answer
    x = 41,606.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.