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Finding the Fourth Proportional to 41,459, 57,173.46 and 27,877.64

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Solution

The fourth proportional to 41,459, 57,173.46 and 27,877.64 is: 38,444.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,459 : 57,173.46 = 27,877.64 : x
  2. Step 2: Convert to fraction form
    41,459/57,173.46 = 27,877.64/x
  3. Step 3: Cross multiply
    41,459x = 57,173.46 × 27,877.64
  4. Step 4: Simplify right side
    41,459x = 1,593,861,135.43
  5. Step 5: Solve for x
    x = 1,593,861,135.43/41,459
  6. Step 6: Final answer
    x = 38,444.27

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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.