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Finding the Fourth Proportional to 36,066, 54,099.18 and 9,770.96

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Solution

The fourth proportional to 36,066, 54,099.18 and 9,770.96 is: 14,656.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,066 : 54,099.18 = 9,770.96 : x
  2. Step 2: Convert to fraction form
    36,066/54,099.18 = 9,770.96/x
  3. Step 3: Cross multiply
    36,066x = 54,099.18 × 9,770.96
  4. Step 4: Simplify right side
    36,066x = 528,600,923.81
  5. Step 5: Solve for x
    x = 528,600,923.81/36,066
  6. Step 6: Final answer
    x = 14,656.49

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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.