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Finding the Fourth Proportional to 65,197.82, 97,791.86 and 20,829.26

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Solution

The fourth proportional to 65,197.82, 97,791.86 and 20,829.26 is: 31,242.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,197.82 : 97,791.86 = 20,829.26 : x
  2. Step 2: Convert to fraction form
    65,197.82/97,791.86 = 20,829.26/x
  3. Step 3: Cross multiply
    65,197.82x = 97,791.86 × 20,829.26
  4. Step 4: Simplify right side
    65,197.82x = 2,036,932,077.82
  5. Step 5: Solve for x
    x = 2,036,932,077.82/65,197.82
  6. Step 6: Final answer
    x = 31,242.33

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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.