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Finding the Fourth Proportional to 76,222.67, 105,239.79 and 58,286.43

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Solution

The fourth proportional to 76,222.67, 105,239.79 and 58,286.43 is: 80,475.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,222.67 : 105,239.79 = 58,286.43 : x
  2. Step 2: Convert to fraction form
    76,222.67/105,239.79 = 58,286.43/x
  3. Step 3: Cross multiply
    76,222.67x = 105,239.79 × 58,286.43
  4. Step 4: Simplify right side
    76,222.67x = 6,134,051,653.05
  5. Step 5: Solve for x
    x = 6,134,051,653.05/76,222.67
  6. Step 6: Final answer
    x = 80,475.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.