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Finding the Fourth Proportional to 40,427.54, 55,788.24 and 22,524.50

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Solution

The fourth proportional to 40,427.54, 55,788.24 and 22,524.50 is: 31,082.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,427.54 : 55,788.24 = 22,524.50 : x
  2. Step 2: Convert to fraction form
    40,427.54/55,788.24 = 22,524.50/x
  3. Step 3: Cross multiply
    40,427.54x = 55,788.24 × 22,524.50
  4. Step 4: Simplify right side
    40,427.54x = 1,256,602,211.88
  5. Step 5: Solve for x
    x = 1,256,602,211.88/40,427.54
  6. Step 6: Final answer
    x = 31,082.83

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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.