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Finding the Fourth Proportional to 30,738.89, 42,410.49 and 18,789.67

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Solution

The fourth proportional to 30,738.89, 42,410.49 and 18,789.67 is: 25,924.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,738.89 : 42,410.49 = 18,789.67 : x
  2. Step 2: Convert to fraction form
    30,738.89/42,410.49 = 18,789.67/x
  3. Step 3: Cross multiply
    30,738.89x = 42,410.49 × 18,789.67
  4. Step 4: Simplify right side
    30,738.89x = 796,879,094.19
  5. Step 5: Solve for x
    x = 796,879,094.19/30,738.89
  6. Step 6: Final answer
    x = 25,924.13

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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.