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Finding the Fourth Proportional to 76,227.68, 105,190.64 and 41,770.64

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Solution

The fourth proportional to 76,227.68, 105,190.64 and 41,770.64 is: 57,641.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,227.68 : 105,190.64 = 41,770.64 : x
  2. Step 2: Convert to fraction form
    76,227.68/105,190.64 = 41,770.64/x
  3. Step 3: Cross multiply
    76,227.68x = 105,190.64 × 41,770.64
  4. Step 4: Simplify right side
    76,227.68x = 4,393,880,354.81
  5. Step 5: Solve for x
    x = 4,393,880,354.81/76,227.68
  6. Step 6: Final answer
    x = 57,641.53

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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.