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Finding the Fourth Proportional to 30,603.69, 45,905.73 and 8,419.41

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Solution

The fourth proportional to 30,603.69, 45,905.73 and 8,419.41 is: 12,629.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,603.69 : 45,905.73 = 8,419.41 : x
  2. Step 2: Convert to fraction form
    30,603.69/45,905.73 = 8,419.41/x
  3. Step 3: Cross multiply
    30,603.69x = 45,905.73 × 8,419.41
  4. Step 4: Simplify right side
    30,603.69x = 386,498,932.69
  5. Step 5: Solve for x
    x = 386,498,932.69/30,603.69
  6. Step 6: Final answer
    x = 12,629.16

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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.