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Finding the Fourth Proportional to 85,516.47, 128,274.98 and 50,431.50

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Solution

The fourth proportional to 85,516.47, 128,274.98 and 50,431.50 is: 75,647.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,516.47 : 128,274.98 = 50,431.50 : x
  2. Step 2: Convert to fraction form
    85,516.47/128,274.98 = 50,431.50/x
  3. Step 3: Cross multiply
    85,516.47x = 128,274.98 × 50,431.50
  4. Step 4: Simplify right side
    85,516.47x = 6,469,099,401.71
  5. Step 5: Solve for x
    x = 6,469,099,401.71/85,516.47
  6. Step 6: Final answer
    x = 75,647.41

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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.