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Finding the Fourth Proportional to 36,342.57, 54,513.68 and 9,691.33

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Solution

The fourth proportional to 36,342.57, 54,513.68 and 9,691.33 is: 14,536.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,342.57 : 54,513.68 = 9,691.33 : x
  2. Step 2: Convert to fraction form
    36,342.57/54,513.68 = 9,691.33/x
  3. Step 3: Cross multiply
    36,342.57x = 54,513.68 × 9,691.33
  4. Step 4: Simplify right side
    36,342.57x = 528,309,979.87
  5. Step 5: Solve for x
    x = 528,309,979.87/36,342.57
  6. Step 6: Final answer
    x = 14,536.94

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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.