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Finding the Fourth Proportional to 36,228.84, 54,343 and 11,268.90

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Solution

The fourth proportional to 36,228.84, 54,343 and 11,268.90 is: 16,903.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,228.84 : 54,343 = 11,268.90 : x
  2. Step 2: Convert to fraction form
    36,228.84/54,343 = 11,268.90/x
  3. Step 3: Cross multiply
    36,228.84x = 54,343 × 11,268.90
  4. Step 4: Simplify right side
    36,228.84x = 612,385,832.70
  5. Step 5: Solve for x
    x = 612,385,832.70/36,228.84
  6. Step 6: Final answer
    x = 16,903.27

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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.