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Finding the Fourth Proportional to 65,732.49, 98,559.28 and 30,149.23

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Solution

The fourth proportional to 65,732.49, 98,559.28 and 30,149.23 is: 45,205.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,732.49 : 98,559.28 = 30,149.23 : x
  2. Step 2: Convert to fraction form
    65,732.49/98,559.28 = 30,149.23/x
  3. Step 3: Cross multiply
    65,732.49x = 98,559.28 × 30,149.23
  4. Step 4: Simplify right side
    65,732.49x = 2,971,486,401.35
  5. Step 5: Solve for x
    x = 2,971,486,401.35/65,732.49
  6. Step 6: Final answer
    x = 45,205.75

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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.