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Finding the Fourth Proportional to 65,246.44, 97,849.14 and 27,805.72

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Solution

The fourth proportional to 65,246.44, 97,849.14 and 27,805.72 is: 41,699.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,246.44 : 97,849.14 = 27,805.72 : x
  2. Step 2: Convert to fraction form
    65,246.44/97,849.14 = 27,805.72/x
  3. Step 3: Cross multiply
    65,246.44x = 97,849.14 × 27,805.72
  4. Step 4: Simplify right side
    65,246.44x = 2,720,765,789.08
  5. Step 5: Solve for x
    x = 2,720,765,789.08/65,246.44
  6. Step 6: Final answer
    x = 41,699.84

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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.