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Finding the Fourth Proportional to 50,364.38, 75,846.34 and 43,869

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Solution

The fourth proportional to 50,364.38, 75,846.34 and 43,869 is: 66,064.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,364.38 : 75,846.34 = 43,869 : x
  2. Step 2: Convert to fraction form
    50,364.38/75,846.34 = 43,869/x
  3. Step 3: Cross multiply
    50,364.38x = 75,846.34 × 43,869
  4. Step 4: Simplify right side
    50,364.38x = 3,327,303,089.46
  5. Step 5: Solve for x
    x = 3,327,303,089.46/50,364.38
  6. Step 6: Final answer
    x = 66,064.61

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.