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Finding the Fourth Proportional to 29,839.46, 41,178.41 and 17,096.78

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Solution

The fourth proportional to 29,839.46, 41,178.41 and 17,096.78 is: 23,593.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,839.46 : 41,178.41 = 17,096.78 : x
  2. Step 2: Convert to fraction form
    29,839.46/41,178.41 = 17,096.78/x
  3. Step 3: Cross multiply
    29,839.46x = 41,178.41 × 17,096.78
  4. Step 4: Simplify right side
    29,839.46x = 704,017,925.14
  5. Step 5: Solve for x
    x = 704,017,925.14/29,839.46
  6. Step 6: Final answer
    x = 23,593.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.