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Finding the Fourth Proportional to 43,902.67, 65,851.70 and 12,314.92

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Solution

The fourth proportional to 43,902.67, 65,851.70 and 12,314.92 is: 18,471.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,902.67 : 65,851.70 = 12,314.92 : x
  2. Step 2: Convert to fraction form
    43,902.67/65,851.70 = 12,314.92/x
  3. Step 3: Cross multiply
    43,902.67x = 65,851.70 × 12,314.92
  4. Step 4: Simplify right side
    43,902.67x = 810,958,417.36
  5. Step 5: Solve for x
    x = 810,958,417.36/43,902.67
  6. Step 6: Final answer
    x = 18,471.73

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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.