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Finding the Fourth Proportional to 43,679.68, 65,521.20 and 14,098

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Solution

The fourth proportional to 43,679.68, 65,521.20 and 14,098 is: 21,147.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,679.68 : 65,521.20 = 14,098 : x
  2. Step 2: Convert to fraction form
    43,679.68/65,521.20 = 14,098/x
  3. Step 3: Cross multiply
    43,679.68x = 65,521.20 × 14,098
  4. Step 4: Simplify right side
    43,679.68x = 923,717,877.60
  5. Step 5: Solve for x
    x = 923,717,877.60/43,679.68
  6. Step 6: Final answer
    x = 21,147.54

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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.