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Finding the Fourth Proportional to 27,954, 38,576.52 and 15,378.48

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Solution

The fourth proportional to 27,954, 38,576.52 and 15,378.48 is: 21,222.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,954 : 38,576.52 = 15,378.48 : x
  2. Step 2: Convert to fraction form
    27,954/38,576.52 = 15,378.48/x
  3. Step 3: Cross multiply
    27,954x = 38,576.52 × 15,378.48
  4. Step 4: Simplify right side
    27,954x = 593,248,241.29
  5. Step 5: Solve for x
    x = 593,248,241.29/27,954
  6. Step 6: Final answer
    x = 21,222.30

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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.