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Finding the Fourth Proportional to 50,632.86, 69,266.10 and 50,419.64

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Solution

The fourth proportional to 50,632.86, 69,266.10 and 50,419.64 is: 68,974.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,632.86 : 69,266.10 = 50,419.64 : x
  2. Step 2: Convert to fraction form
    50,632.86/69,266.10 = 50,419.64/x
  3. Step 3: Cross multiply
    50,632.86x = 69,266.10 × 50,419.64
  4. Step 4: Simplify right side
    50,632.86x = 3,492,371,826.20
  5. Step 5: Solve for x
    x = 3,492,371,826.20/50,632.86
  6. Step 6: Final answer
    x = 68,974.41

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.