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Finding the Fourth Proportional to 30,549.96, 45,821.34 and 11,828.34

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Solution

The fourth proportional to 30,549.96, 45,821.34 and 11,828.34 is: 17,741.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,549.96 : 45,821.34 = 11,828.34 : x
  2. Step 2: Convert to fraction form
    30,549.96/45,821.34 = 11,828.34/x
  3. Step 3: Cross multiply
    30,549.96x = 45,821.34 × 11,828.34
  4. Step 4: Simplify right side
    30,549.96x = 541,990,388.78
  5. Step 5: Solve for x
    x = 541,990,388.78/30,549.96
  6. Step 6: Final answer
    x = 17,741.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.