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Finding the Fourth Proportional to 65,682.24, 98,523.33 and 21,309

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Solution

The fourth proportional to 65,682.24, 98,523.33 and 21,309 is: 31,963.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,682.24 : 98,523.33 = 21,309 : x
  2. Step 2: Convert to fraction form
    65,682.24/98,523.33 = 21,309/x
  3. Step 3: Cross multiply
    65,682.24x = 98,523.33 × 21,309
  4. Step 4: Simplify right side
    65,682.24x = 2,099,433,638.97
  5. Step 5: Solve for x
    x = 2,099,433,638.97/65,682.24
  6. Step 6: Final answer
    x = 31,963.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.