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Finding the Fourth Proportional to 30,958.20, 46,472.94 and 19,278

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Solution

The fourth proportional to 30,958.20, 46,472.94 and 19,278 is: 28,939.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,958.20 : 46,472.94 = 19,278 : x
  2. Step 2: Convert to fraction form
    30,958.20/46,472.94 = 19,278/x
  3. Step 3: Cross multiply
    30,958.20x = 46,472.94 × 19,278
  4. Step 4: Simplify right side
    30,958.20x = 895,905,337.32
  5. Step 5: Solve for x
    x = 895,905,337.32/30,958.20
  6. Step 6: Final answer
    x = 28,939.19

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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.