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Finding the Fourth Proportional to 30,511.63, 45,732.30 and 11,783.41

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Solution

The fourth proportional to 30,511.63, 45,732.30 and 11,783.41 is: 17,661.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,511.63 : 45,732.30 = 11,783.41 : x
  2. Step 2: Convert to fraction form
    30,511.63/45,732.30 = 11,783.41/x
  3. Step 3: Cross multiply
    30,511.63x = 45,732.30 × 11,783.41
  4. Step 4: Simplify right side
    30,511.63x = 538,882,441.14
  5. Step 5: Solve for x
    x = 538,882,441.14/30,511.63
  6. Step 6: Final answer
    x = 17,661.54

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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.