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Finding the Fourth Proportional to 36,133.49, 54,199.21 and 9,838.46

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Solution

The fourth proportional to 36,133.49, 54,199.21 and 9,838.46 is: 14,757.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,133.49 : 54,199.21 = 9,838.46 : x
  2. Step 2: Convert to fraction form
    36,133.49/54,199.21 = 9,838.46/x
  3. Step 3: Cross multiply
    36,133.49x = 54,199.21 × 9,838.46
  4. Step 4: Simplify right side
    36,133.49x = 533,236,759.62
  5. Step 5: Solve for x
    x = 533,236,759.62/36,133.49
  6. Step 6: Final answer
    x = 14,757.41

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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.