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Finding the Fourth Proportional to 27,338.56, 37,730 and 16,735.20

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Solution

The fourth proportional to 27,338.56, 37,730 and 16,735.20 is: 23,096.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,338.56 : 37,730 = 16,735.20 : x
  2. Step 2: Convert to fraction form
    27,338.56/37,730 = 16,735.20/x
  3. Step 3: Cross multiply
    27,338.56x = 37,730 × 16,735.20
  4. Step 4: Simplify right side
    27,338.56x = 631,419,096
  5. Step 5: Solve for x
    x = 631,419,096/27,338.56
  6. Step 6: Final answer
    x = 23,096.28

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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.