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Finding the Fourth Proportional to 65,584.77, 98,352.52 and 21,199.60

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Solution

The fourth proportional to 65,584.77, 98,352.52 and 21,199.60 is: 31,791.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,584.77 : 98,352.52 = 21,199.60 : x
  2. Step 2: Convert to fraction form
    65,584.77/98,352.52 = 21,199.60/x
  3. Step 3: Cross multiply
    65,584.77x = 98,352.52 × 21,199.60
  4. Step 4: Simplify right side
    65,584.77x = 2,085,034,082.99
  5. Step 5: Solve for x
    x = 2,085,034,082.99/65,584.77
  6. Step 6: Final answer
    x = 31,791.44

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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.