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Finding the Fourth Proportional to 68,400.41, 102,411.88 and 35,049.47

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Solution

The fourth proportional to 68,400.41, 102,411.88 and 35,049.47 is: 52,477.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,400.41 : 102,411.88 = 35,049.47 : x
  2. Step 2: Convert to fraction form
    68,400.41/102,411.88 = 35,049.47/x
  3. Step 3: Cross multiply
    68,400.41x = 102,411.88 × 35,049.47
  4. Step 4: Simplify right side
    68,400.41x = 3,589,481,516.02
  5. Step 5: Solve for x
    x = 3,589,481,516.02/68,400.41
  6. Step 6: Final answer
    x = 52,477.49

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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.