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Finding the Fourth Proportional to 50,825.58, 76,238.97 and 24,174.40

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Solution

The fourth proportional to 50,825.58, 76,238.97 and 24,174.40 is: 36,261.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,825.58 : 76,238.97 = 24,174.40 : x
  2. Step 2: Convert to fraction form
    50,825.58/76,238.97 = 24,174.40/x
  3. Step 3: Cross multiply
    50,825.58x = 76,238.97 × 24,174.40
  4. Step 4: Simplify right side
    50,825.58x = 1,843,031,354.05
  5. Step 5: Solve for x
    x = 1,843,031,354.05/50,825.58
  6. Step 6: Final answer
    x = 36,261.89

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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.