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Finding the Fourth Proportional to 35,954, 53,939.64 and 11,330

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Solution

The fourth proportional to 35,954, 53,939.64 and 11,330 is: 16,997.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,954 : 53,939.64 = 11,330 : x
  2. Step 2: Convert to fraction form
    35,954/53,939.64 = 11,330/x
  3. Step 3: Cross multiply
    35,954x = 53,939.64 × 11,330
  4. Step 4: Simplify right side
    35,954x = 611,136,121.20
  5. Step 5: Solve for x
    x = 611,136,121.20/35,954
  6. Step 6: Final answer
    x = 16,997.72

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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.