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Finding the Fourth Proportional to 76,586.72, 114,936.26 and 50,282.24

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Solution

The fourth proportional to 76,586.72, 114,936.26 and 50,282.24 is: 75,460.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,586.72 : 114,936.26 = 50,282.24 : x
  2. Step 2: Convert to fraction form
    76,586.72/114,936.26 = 50,282.24/x
  3. Step 3: Cross multiply
    76,586.72x = 114,936.26 × 50,282.24
  4. Step 4: Simplify right side
    76,586.72x = 5,779,252,610.02
  5. Step 5: Solve for x
    x = 5,779,252,610.02/76,586.72
  6. Step 6: Final answer
    x = 75,460.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.