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Finding the Fourth Proportional to 30,201.67, 45,320.31 and 11,497.44

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Solution

The fourth proportional to 30,201.67, 45,320.31 and 11,497.44 is: 17,252.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,201.67 : 45,320.31 = 11,497.44 : x
  2. Step 2: Convert to fraction form
    30,201.67/45,320.31 = 11,497.44/x
  3. Step 3: Cross multiply
    30,201.67x = 45,320.31 × 11,497.44
  4. Step 4: Simplify right side
    30,201.67x = 521,067,545.01
  5. Step 5: Solve for x
    x = 521,067,545.01/30,201.67
  6. Step 6: Final answer
    x = 17,252.94

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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.