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Finding the Fourth Proportional to 30,997.80, 46,470.57 and 13,454.42

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Solution

The fourth proportional to 30,997.80, 46,470.57 and 13,454.42 is: 20,170.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,997.80 : 46,470.57 = 13,454.42 : x
  2. Step 2: Convert to fraction form
    30,997.80/46,470.57 = 13,454.42/x
  3. Step 3: Cross multiply
    30,997.80x = 46,470.57 × 13,454.42
  4. Step 4: Simplify right side
    30,997.80x = 625,234,334.07
  5. Step 5: Solve for x
    x = 625,234,334.07/30,997.80
  6. Step 6: Final answer
    x = 20,170.28

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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.