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Finding the Fourth Proportional to 40,450.88, 55,824.11 and 22,546

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Solution

The fourth proportional to 40,450.88, 55,824.11 and 22,546 is: 31,114.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,450.88 : 55,824.11 = 22,546 : x
  2. Step 2: Convert to fraction form
    40,450.88/55,824.11 = 22,546/x
  3. Step 3: Cross multiply
    40,450.88x = 55,824.11 × 22,546
  4. Step 4: Simplify right side
    40,450.88x = 1,258,610,384.06
  5. Step 5: Solve for x
    x = 1,258,610,384.06/40,450.88
  6. Step 6: Final answer
    x = 31,114.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.