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Finding the Fourth Proportional to 36,593.60, 54,891 and 10,298.97

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Solution

The fourth proportional to 36,593.60, 54,891 and 10,298.97 is: 15,448.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,593.60 : 54,891 = 10,298.97 : x
  2. Step 2: Convert to fraction form
    36,593.60/54,891 = 10,298.97/x
  3. Step 3: Cross multiply
    36,593.60x = 54,891 × 10,298.97
  4. Step 4: Simplify right side
    36,593.60x = 565,320,762.27
  5. Step 5: Solve for x
    x = 565,320,762.27/36,593.60
  6. Step 6: Final answer
    x = 15,448.63

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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.