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Finding the Fourth Proportional to 76,836, 106,034.49 and 43,302

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Solution

The fourth proportional to 76,836, 106,034.49 and 43,302 is: 59,757.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,836 : 106,034.49 = 43,302 : x
  2. Step 2: Convert to fraction form
    76,836/106,034.49 = 43,302/x
  3. Step 3: Cross multiply
    76,836x = 106,034.49 × 43,302
  4. Step 4: Simplify right side
    76,836x = 4,591,505,485.98
  5. Step 5: Solve for x
    x = 4,591,505,485.98/76,836
  6. Step 6: Final answer
    x = 59,757.22

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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.