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Finding the Fourth Proportional to 30,879.81, 46,284.71 and 14,205.42

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Solution

The fourth proportional to 30,879.81, 46,284.71 and 14,205.42 is: 21,292.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,879.81 : 46,284.71 = 14,205.42 : x
  2. Step 2: Convert to fraction form
    30,879.81/46,284.71 = 14,205.42/x
  3. Step 3: Cross multiply
    30,879.81x = 46,284.71 × 14,205.42
  4. Step 4: Simplify right side
    30,879.81x = 657,493,745.13
  5. Step 5: Solve for x
    x = 657,493,745.13/30,879.81
  6. Step 6: Final answer
    x = 21,292.03

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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.