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Finding the Fourth Proportional to 75,153.50, 103,711.64 and 41,162

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Solution

The fourth proportional to 75,153.50, 103,711.64 and 41,162 is: 56,803.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,153.50 : 103,711.64 = 41,162 : x
  2. Step 2: Convert to fraction form
    75,153.50/103,711.64 = 41,162/x
  3. Step 3: Cross multiply
    75,153.50x = 103,711.64 × 41,162
  4. Step 4: Simplify right side
    75,153.50x = 4,268,978,525.68
  5. Step 5: Solve for x
    x = 4,268,978,525.68/75,153.50
  6. Step 6: Final answer
    x = 56,803.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.