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Finding the Fourth Proportional to 50,887.28, 76,343.84 and 15,827.20

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Solution

The fourth proportional to 50,887.28, 76,343.84 and 15,827.20 is: 23,744.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,887.28 : 76,343.84 = 15,827.20 : x
  2. Step 2: Convert to fraction form
    50,887.28/76,343.84 = 15,827.20/x
  3. Step 3: Cross multiply
    50,887.28x = 76,343.84 × 15,827.20
  4. Step 4: Simplify right side
    50,887.28x = 1,208,309,224.45
  5. Step 5: Solve for x
    x = 1,208,309,224.45/50,887.28
  6. Step 6: Final answer
    x = 23,744.82

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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.