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Finding the Fourth Proportional to 30,811.34, 46,238.88 and 14,190.14

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Solution

The fourth proportional to 30,811.34, 46,238.88 and 14,190.14 is: 21,295.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,811.34 : 46,238.88 = 14,190.14 : x
  2. Step 2: Convert to fraction form
    30,811.34/46,238.88 = 14,190.14/x
  3. Step 3: Cross multiply
    30,811.34x = 46,238.88 × 14,190.14
  4. Step 4: Simplify right side
    30,811.34x = 656,136,180.64
  5. Step 5: Solve for x
    x = 656,136,180.64/30,811.34
  6. Step 6: Final answer
    x = 21,295.28

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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.