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Finding the Fourth Proportional to 27,440, 41,107.40 and 16,313

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Solution

The fourth proportional to 27,440, 41,107.40 and 16,313 is: 24,438.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,440 : 41,107.40 = 16,313 : x
  2. Step 2: Convert to fraction form
    27,440/41,107.40 = 16,313/x
  3. Step 3: Cross multiply
    27,440x = 41,107.40 × 16,313
  4. Step 4: Simplify right side
    27,440x = 670,585,016.20
  5. Step 5: Solve for x
    x = 670,585,016.20/27,440
  6. Step 6: Final answer
    x = 24,438.23

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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.