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Finding the Fourth Proportional to 50,958.72, 76,418.64 and 15,886.80

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Solution

The fourth proportional to 50,958.72, 76,418.64 and 15,886.80 is: 23,824.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,958.72 : 76,418.64 = 15,886.80 : x
  2. Step 2: Convert to fraction form
    50,958.72/76,418.64 = 15,886.80/x
  3. Step 3: Cross multiply
    50,958.72x = 76,418.64 × 15,886.80
  4. Step 4: Simplify right side
    50,958.72x = 1,214,047,649.95
  5. Step 5: Solve for x
    x = 1,214,047,649.95/50,958.72
  6. Step 6: Final answer
    x = 23,824.14

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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.