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Finding the Fourth Proportional to 36,064.56, 54,097.14 and 9,769.56

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Solution

The fourth proportional to 36,064.56, 54,097.14 and 9,769.56 is: 14,654.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,064.56 : 54,097.14 = 9,769.56 : x
  2. Step 2: Convert to fraction form
    36,064.56/54,097.14 = 9,769.56/x
  3. Step 3: Cross multiply
    36,064.56x = 54,097.14 × 9,769.56
  4. Step 4: Simplify right side
    36,064.56x = 528,505,255.06
  5. Step 5: Solve for x
    x = 528,505,255.06/36,064.56
  6. Step 6: Final answer
    x = 14,654.42

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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.