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Finding the Fourth Proportional to 65,684.72, 98,444 and 41,983.14

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Solution

The fourth proportional to 65,684.72, 98,444 and 41,983.14 is: 62,921.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,684.72 : 98,444 = 41,983.14 : x
  2. Step 2: Convert to fraction form
    65,684.72/98,444 = 41,983.14/x
  3. Step 3: Cross multiply
    65,684.72x = 98,444 × 41,983.14
  4. Step 4: Simplify right side
    65,684.72x = 4,132,988,234.16
  5. Step 5: Solve for x
    x = 4,132,988,234.16/65,684.72
  6. Step 6: Final answer
    x = 62,921.61

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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.