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Finding the Fourth Proportional to 41,674, 57,511.38 and 22,812.40

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Solution

The fourth proportional to 41,674, 57,511.38 and 22,812.40 is: 31,481.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,674 : 57,511.38 = 22,812.40 : x
  2. Step 2: Convert to fraction form
    41,674/57,511.38 = 22,812.40/x
  3. Step 3: Cross multiply
    41,674x = 57,511.38 × 22,812.40
  4. Step 4: Simplify right side
    41,674x = 1,311,972,605.11
  5. Step 5: Solve for x
    x = 1,311,972,605.11/41,674
  6. Step 6: Final answer
    x = 31,481.80

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1.5x scale

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.