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Finding the Fourth Proportional to 30,866.38, 46,290.03 and 11,142.39

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Solution

The fourth proportional to 30,866.38, 46,290.03 and 11,142.39 is: 16,710.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,866.38 : 46,290.03 = 11,142.39 : x
  2. Step 2: Convert to fraction form
    30,866.38/46,290.03 = 11,142.39/x
  3. Step 3: Cross multiply
    30,866.38x = 46,290.03 × 11,142.39
  4. Step 4: Simplify right side
    30,866.38x = 515,781,567.37
  5. Step 5: Solve for x
    x = 515,781,567.37/30,866.38
  6. Step 6: Final answer
    x = 16,710.14

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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.