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Finding the Fourth Proportional to 36,099, 54,170.37 and 15,322.50

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Solution

The fourth proportional to 36,099, 54,170.37 and 15,322.50 is: 22,993.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,099 : 54,170.37 = 15,322.50 : x
  2. Step 2: Convert to fraction form
    36,099/54,170.37 = 15,322.50/x
  3. Step 3: Cross multiply
    36,099x = 54,170.37 × 15,322.50
  4. Step 4: Simplify right side
    36,099x = 830,025,494.33
  5. Step 5: Solve for x
    x = 830,025,494.33/36,099
  6. Step 6: Final answer
    x = 22,993.03

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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.