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Finding the Fourth Proportional to 30,883.98, 46,294.13 and 12,156.41

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Solution

The fourth proportional to 30,883.98, 46,294.13 and 12,156.41 is: 18,222.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,883.98 : 46,294.13 = 12,156.41 : x
  2. Step 2: Convert to fraction form
    30,883.98/46,294.13 = 12,156.41/x
  3. Step 3: Cross multiply
    30,883.98x = 46,294.13 × 12,156.41
  4. Step 4: Simplify right side
    30,883.98x = 562,770,571.00
  5. Step 5: Solve for x
    x = 562,770,571.00/30,883.98
  6. Step 6: Final answer
    x = 18,222.08

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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.