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Finding the Fourth Proportional to 30,201.87, 41,681.22 and 16,775.75

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Solution

The fourth proportional to 30,201.87, 41,681.22 and 16,775.75 is: 23,151.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,201.87 : 41,681.22 = 16,775.75 : x
  2. Step 2: Convert to fraction form
    30,201.87/41,681.22 = 16,775.75/x
  3. Step 3: Cross multiply
    30,201.87x = 41,681.22 × 16,775.75
  4. Step 4: Simplify right side
    30,201.87x = 699,233,518.01
  5. Step 5: Solve for x
    x = 699,233,518.01/30,201.87
  6. Step 6: Final answer
    x = 23,151.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.