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Finding the Fourth Proportional to 36,415.24, 54,624.90 and 10,119.40

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Solution

The fourth proportional to 36,415.24, 54,624.90 and 10,119.40 is: 15,179.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,415.24 : 54,624.90 = 10,119.40 : x
  2. Step 2: Convert to fraction form
    36,415.24/54,624.90 = 10,119.40/x
  3. Step 3: Cross multiply
    36,415.24x = 54,624.90 × 10,119.40
  4. Step 4: Simplify right side
    36,415.24x = 552,771,213.06
  5. Step 5: Solve for x
    x = 552,771,213.06/36,415.24
  6. Step 6: Final answer
    x = 15,179.67

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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.