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Finding the Fourth Proportional to 65,883.56, 98,843.82 and 26,468.36

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Solution

The fourth proportional to 65,883.56, 98,843.82 and 26,468.36 is: 39,709.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,883.56 : 98,843.82 = 26,468.36 : x
  2. Step 2: Convert to fraction form
    65,883.56/98,843.82 = 26,468.36/x
  3. Step 3: Cross multiply
    65,883.56x = 98,843.82 × 26,468.36
  4. Step 4: Simplify right side
    65,883.56x = 2,616,233,317.32
  5. Step 5: Solve for x
    x = 2,616,233,317.32/65,883.56
  6. Step 6: Final answer
    x = 39,709.96

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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.