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Finding the Fourth Proportional to 27,822.70, 41,705.70 and 13,761.10

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Solution

The fourth proportional to 27,822.70, 41,705.70 and 13,761.10 is: 20,627.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,822.70 : 41,705.70 = 13,761.10 : x
  2. Step 2: Convert to fraction form
    27,822.70/41,705.70 = 13,761.10/x
  3. Step 3: Cross multiply
    27,822.70x = 41,705.70 × 13,761.10
  4. Step 4: Simplify right side
    27,822.70x = 573,916,308.27
  5. Step 5: Solve for x
    x = 573,916,308.27/27,822.70
  6. Step 6: Final answer
    x = 20,627.63

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1.5x scale

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.