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Finding the Fourth Proportional to 54,836.60, 82,109.10 and 35,007.80

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Solution

The fourth proportional to 54,836.60, 82,109.10 and 35,007.80 is: 52,418.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,836.60 : 82,109.10 = 35,007.80 : x
  2. Step 2: Convert to fraction form
    54,836.60/82,109.10 = 35,007.80/x
  3. Step 3: Cross multiply
    54,836.60x = 82,109.10 × 35,007.80
  4. Step 4: Simplify right side
    54,836.60x = 2,874,458,950.98
  5. Step 5: Solve for x
    x = 2,874,458,950.98/54,836.60
  6. Step 6: Final answer
    x = 52,418.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.