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Finding the Fourth Proportional to 30,878.38, 46,227.39 and 27,923.64

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Solution

The fourth proportional to 30,878.38, 46,227.39 and 27,923.64 is: 41,803.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,878.38 : 46,227.39 = 27,923.64 : x
  2. Step 2: Convert to fraction form
    30,878.38/46,227.39 = 27,923.64/x
  3. Step 3: Cross multiply
    30,878.38x = 46,227.39 × 27,923.64
  4. Step 4: Simplify right side
    30,878.38x = 1,290,836,996.50
  5. Step 5: Solve for x
    x = 1,290,836,996.50/30,878.38
  6. Step 6: Final answer
    x = 41,803.91

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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.