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Finding the Fourth Proportional to 71,496.76, 107,287.52 and 27,160.81

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Solution

The fourth proportional to 71,496.76, 107,287.52 and 27,160.81 is: 40,757.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,496.76 : 107,287.52 = 27,160.81 : x
  2. Step 2: Convert to fraction form
    71,496.76/107,287.52 = 27,160.81/x
  3. Step 3: Cross multiply
    71,496.76x = 107,287.52 × 27,160.81
  4. Step 4: Simplify right side
    71,496.76x = 2,914,015,946.09
  5. Step 5: Solve for x
    x = 2,914,015,946.09/71,496.76
  6. Step 6: Final answer
    x = 40,757.31

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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.