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Finding the Fourth Proportional to 43,902.74, 65,851.79 and 12,314.99

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Solution

The fourth proportional to 43,902.74, 65,851.79 and 12,314.99 is: 18,471.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,902.74 : 65,851.79 = 12,314.99 : x
  2. Step 2: Convert to fraction form
    43,902.74/65,851.79 = 12,314.99/x
  3. Step 3: Cross multiply
    43,902.74x = 65,851.79 × 12,314.99
  4. Step 4: Simplify right side
    43,902.74x = 810,963,806.07
  5. Step 5: Solve for x
    x = 810,963,806.07/43,902.74
  6. Step 6: Final answer
    x = 18,471.83

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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.