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Finding the Fourth Proportional to 33,313.96, 45,971.46 and 18,409

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Solution

The fourth proportional to 33,313.96, 45,971.46 and 18,409 is: 25,403.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,313.96 : 45,971.46 = 18,409 : x
  2. Step 2: Convert to fraction form
    33,313.96/45,971.46 = 18,409/x
  3. Step 3: Cross multiply
    33,313.96x = 45,971.46 × 18,409
  4. Step 4: Simplify right side
    33,313.96x = 846,288,607.14
  5. Step 5: Solve for x
    x = 846,288,607.14/33,313.96
  6. Step 6: Final answer
    x = 25,403.42

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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.