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Finding the Fourth Proportional to 50,555.64, 75,824.82 and 13,611

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Solution

The fourth proportional to 50,555.64, 75,824.82 and 13,611 is: 20,414.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,555.64 : 75,824.82 = 13,611 : x
  2. Step 2: Convert to fraction form
    50,555.64/75,824.82 = 13,611/x
  3. Step 3: Cross multiply
    50,555.64x = 75,824.82 × 13,611
  4. Step 4: Simplify right side
    50,555.64x = 1,032,051,625.02
  5. Step 5: Solve for x
    x = 1,032,051,625.02/50,555.64
  6. Step 6: Final answer
    x = 20,414.17

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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.