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Finding the Fourth Proportional to 65,517.77, 98,314.75 and 27,564.26

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Solution

The fourth proportional to 65,517.77, 98,314.75 and 27,564.26 is: 41,362.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,517.77 : 98,314.75 = 27,564.26 : x
  2. Step 2: Convert to fraction form
    65,517.77/98,314.75 = 27,564.26/x
  3. Step 3: Cross multiply
    65,517.77x = 98,314.75 × 27,564.26
  4. Step 4: Simplify right side
    65,517.77x = 2,709,972,718.67
  5. Step 5: Solve for x
    x = 2,709,972,718.67/65,517.77
  6. Step 6: Final answer
    x = 41,362.41

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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.