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Finding the Fourth Proportional to 27,088, 37,396.80 and 20,452.48

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Solution

The fourth proportional to 27,088, 37,396.80 and 20,452.48 is: 28,236.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,088 : 37,396.80 = 20,452.48 : x
  2. Step 2: Convert to fraction form
    27,088/37,396.80 = 20,452.48/x
  3. Step 3: Cross multiply
    27,088x = 37,396.80 × 20,452.48
  4. Step 4: Simplify right side
    27,088x = 764,857,304.06
  5. Step 5: Solve for x
    x = 764,857,304.06/27,088
  6. Step 6: Final answer
    x = 28,236.02

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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.