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Finding the Fourth Proportional to 36,705.12, 55,057.42 and 10,409.84

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Solution

The fourth proportional to 36,705.12, 55,057.42 and 10,409.84 is: 15,614.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,705.12 : 55,057.42 = 10,409.84 : x
  2. Step 2: Convert to fraction form
    36,705.12/55,057.42 = 10,409.84/x
  3. Step 3: Cross multiply
    36,705.12x = 55,057.42 × 10,409.84
  4. Step 4: Simplify right side
    36,705.12x = 573,138,933.01
  5. Step 5: Solve for x
    x = 573,138,933.01/36,705.12
  6. Step 6: Final answer
    x = 15,614.69

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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.