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Finding the Fourth Proportional to 30,942.72, 46,372.14 and 14,266.08

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Solution

The fourth proportional to 30,942.72, 46,372.14 and 14,266.08 is: 21,379.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,942.72 : 46,372.14 = 14,266.08 : x
  2. Step 2: Convert to fraction form
    30,942.72/46,372.14 = 14,266.08/x
  3. Step 3: Cross multiply
    30,942.72x = 46,372.14 × 14,266.08
  4. Step 4: Simplify right side
    30,942.72x = 661,548,659.01
  5. Step 5: Solve for x
    x = 661,548,659.01/30,942.72
  6. Step 6: Final answer
    x = 21,379.78

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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.