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Finding the Fourth Proportional to 39,504.64, 54,528.96 and 27,568

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Solution

The fourth proportional to 39,504.64, 54,528.96 and 27,568 is: 38,052.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,504.64 : 54,528.96 = 27,568 : x
  2. Step 2: Convert to fraction form
    39,504.64/54,528.96 = 27,568/x
  3. Step 3: Cross multiply
    39,504.64x = 54,528.96 × 27,568
  4. Step 4: Simplify right side
    39,504.64x = 1,503,254,369.28
  5. Step 5: Solve for x
    x = 1,503,254,369.28/39,504.64
  6. Step 6: Final answer
    x = 38,052.60

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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.