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Finding the Fourth Proportional to 41,781, 57,650.70 and 27,626.28

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Solution

The fourth proportional to 41,781, 57,650.70 and 27,626.28 is: 38,119.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,781 : 57,650.70 = 27,626.28 : x
  2. Step 2: Convert to fraction form
    41,781/57,650.70 = 27,626.28/x
  3. Step 3: Cross multiply
    41,781x = 57,650.70 × 27,626.28
  4. Step 4: Simplify right side
    41,781x = 1,592,674,380.40
  5. Step 5: Solve for x
    x = 1,592,674,380.40/41,781
  6. Step 6: Final answer
    x = 38,119.58

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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.