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Finding the Fourth Proportional to 41,491, 57,257.58 and 22,628.26

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Solution

The fourth proportional to 41,491, 57,257.58 and 22,628.26 is: 31,227.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,491 : 57,257.58 = 22,628.26 : x
  2. Step 2: Convert to fraction form
    41,491/57,257.58 = 22,628.26/x
  3. Step 3: Cross multiply
    41,491x = 57,257.58 × 22,628.26
  4. Step 4: Simplify right side
    41,491x = 1,295,639,407.21
  5. Step 5: Solve for x
    x = 1,295,639,407.21/41,491
  6. Step 6: Final answer
    x = 31,227.00

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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.