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Finding the Fourth Proportional to 36,509.56, 54,769.72 and 11,543.94

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Solution

The fourth proportional to 36,509.56, 54,769.72 and 11,543.94 is: 17,317.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,509.56 : 54,769.72 = 11,543.94 : x
  2. Step 2: Convert to fraction form
    36,509.56/54,769.72 = 11,543.94/x
  3. Step 3: Cross multiply
    36,509.56x = 54,769.72 × 11,543.94
  4. Step 4: Simplify right side
    36,509.56x = 632,258,361.50
  5. Step 5: Solve for x
    x = 632,258,361.50/36,509.56
  6. Step 6: Final answer
    x = 17,317.61

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Why These Related Problems?

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