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Finding the Fourth Proportional to 36,168.12, 54,206.01 and 31,468.50

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Solution

The fourth proportional to 36,168.12, 54,206.01 and 31,468.50 is: 47,162.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,168.12 : 54,206.01 = 31,468.50 : x
  2. Step 2: Convert to fraction form
    36,168.12/54,206.01 = 31,468.50/x
  3. Step 3: Cross multiply
    36,168.12x = 54,206.01 × 31,468.50
  4. Step 4: Simplify right side
    36,168.12x = 1,705,781,825.69
  5. Step 5: Solve for x
    x = 1,705,781,825.69/36,168.12
  6. Step 6: Final answer
    x = 47,162.58

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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.