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Finding the Fourth Proportional to 50,523.82, 75,775.50 and 17,225.83

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Solution

The fourth proportional to 50,523.82, 75,775.50 and 17,225.83 is: 25,835.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,523.82 : 75,775.50 = 17,225.83 : x
  2. Step 2: Convert to fraction form
    50,523.82/75,775.50 = 17,225.83/x
  3. Step 3: Cross multiply
    50,523.82x = 75,775.50 × 17,225.83
  4. Step 4: Simplify right side
    50,523.82x = 1,305,295,881.17
  5. Step 5: Solve for x
    x = 1,305,295,881.17/50,523.82
  6. Step 6: Final answer
    x = 25,835.26

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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.