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Finding the Fourth Proportional to 65,694.35, 98,537.88 and 30,658.61

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Solution

The fourth proportional to 65,694.35, 98,537.88 and 30,658.61 is: 45,986.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,694.35 : 98,537.88 = 30,658.61 : x
  2. Step 2: Convert to fraction form
    65,694.35/98,537.88 = 30,658.61/x
  3. Step 3: Cross multiply
    65,694.35x = 98,537.88 × 30,658.61
  4. Step 4: Simplify right side
    65,694.35x = 3,021,034,433.15
  5. Step 5: Solve for x
    x = 3,021,034,433.15/65,694.35
  6. Step 6: Final answer
    x = 45,986.21

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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.