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Finding the Fourth Proportional to 30,117.82, 41,563.67 and 18,178.83

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Solution

The fourth proportional to 30,117.82, 41,563.67 and 18,178.83 is: 25,087.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,117.82 : 41,563.67 = 18,178.83 : x
  2. Step 2: Convert to fraction form
    30,117.82/41,563.67 = 18,178.83/x
  3. Step 3: Cross multiply
    30,117.82x = 41,563.67 × 18,178.83
  4. Step 4: Simplify right side
    30,117.82x = 755,578,891.11
  5. Step 5: Solve for x
    x = 755,578,891.11/30,117.82
  6. Step 6: Final answer
    x = 25,087.44

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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.