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Finding the Fourth Proportional to 65,798.58, 98,735.49 and 27,844.86

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Solution

The fourth proportional to 65,798.58, 98,735.49 and 27,844.86 is: 41,783.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,798.58 : 98,735.49 = 27,844.86 : x
  2. Step 2: Convert to fraction form
    65,798.58/98,735.49 = 27,844.86/x
  3. Step 3: Cross multiply
    65,798.58x = 98,735.49 × 27,844.86
  4. Step 4: Simplify right side
    65,798.58x = 2,749,275,896.08
  5. Step 5: Solve for x
    x = 2,749,275,896.08/65,798.58
  6. Step 6: Final answer
    x = 41,783.21

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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.