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Finding the Fourth Proportional to 45,382.41, 68,076.87 and 12,102.30

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Solution

The fourth proportional to 45,382.41, 68,076.87 and 12,102.30 is: 18,154.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,382.41 : 68,076.87 = 12,102.30 : x
  2. Step 2: Convert to fraction form
    45,382.41/68,076.87 = 12,102.30/x
  3. Step 3: Cross multiply
    45,382.41x = 68,076.87 × 12,102.30
  4. Step 4: Simplify right side
    45,382.41x = 823,886,703.80
  5. Step 5: Solve for x
    x = 823,886,703.80/45,382.41
  6. Step 6: Final answer
    x = 18,154.32

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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.