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Finding the Fourth Proportional to 54,160.65, 74,736.54 and 30,286.71

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Solution

The fourth proportional to 54,160.65, 74,736.54 and 30,286.71 is: 41,792.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,160.65 : 74,736.54 = 30,286.71 : x
  2. Step 2: Convert to fraction form
    54,160.65/74,736.54 = 30,286.71/x
  3. Step 3: Cross multiply
    54,160.65x = 74,736.54 × 30,286.71
  4. Step 4: Simplify right side
    54,160.65x = 2,263,523,913.38
  5. Step 5: Solve for x
    x = 2,263,523,913.38/54,160.65
  6. Step 6: Final answer
    x = 41,792.78

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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.