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Finding the Fourth Proportional to 36,902.14, 55,353.42 and 9,200.14

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Solution

The fourth proportional to 36,902.14, 55,353.42 and 9,200.14 is: 13,800.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,902.14 : 55,353.42 = 9,200.14 : x
  2. Step 2: Convert to fraction form
    36,902.14/55,353.42 = 9,200.14/x
  3. Step 3: Cross multiply
    36,902.14x = 55,353.42 × 9,200.14
  4. Step 4: Simplify right side
    36,902.14x = 509,259,213.48
  5. Step 5: Solve for x
    x = 509,259,213.48/36,902.14
  6. Step 6: Final answer
    x = 13,800.26

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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.