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Finding the Fourth Proportional to 50,498.25, 75,747.38 and 19,333.50

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Solution

The fourth proportional to 50,498.25, 75,747.38 and 19,333.50 is: 29,000.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,498.25 : 75,747.38 = 19,333.50 : x
  2. Step 2: Convert to fraction form
    50,498.25/75,747.38 = 19,333.50/x
  3. Step 3: Cross multiply
    50,498.25x = 75,747.38 × 19,333.50
  4. Step 4: Simplify right side
    50,498.25x = 1,464,461,874.56
  5. Step 5: Solve for x
    x = 1,464,461,874.56/50,498.25
  6. Step 6: Final answer
    x = 29,000.25

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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.