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Finding the Fourth Proportional to 53,968.56, 80,410.23 and 50,950.50

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Solution

The fourth proportional to 53,968.56, 80,410.23 and 50,950.50 is: 75,913.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,968.56 : 80,410.23 = 50,950.50 : x
  2. Step 2: Convert to fraction form
    53,968.56/80,410.23 = 50,950.50/x
  3. Step 3: Cross multiply
    53,968.56x = 80,410.23 × 50,950.50
  4. Step 4: Simplify right side
    53,968.56x = 4,096,941,423.62
  5. Step 5: Solve for x
    x = 4,096,941,423.62/53,968.56
  6. Step 6: Final answer
    x = 75,913.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.