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Finding the Fourth Proportional to 30,884, 42,623.16 and 18,944.60

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Solution

The fourth proportional to 30,884, 42,623.16 and 18,944.60 is: 26,145.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,884 : 42,623.16 = 18,944.60 : x
  2. Step 2: Convert to fraction form
    30,884/42,623.16 = 18,944.60/x
  3. Step 3: Cross multiply
    30,884x = 42,623.16 × 18,944.60
  4. Step 4: Simplify right side
    30,884x = 807,478,716.94
  5. Step 5: Solve for x
    x = 807,478,716.94/30,884
  6. Step 6: Final answer
    x = 26,145.54

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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.