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Finding the Fourth Proportional to 27,948, 38,568.39 and 15,201.28

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Solution

The fourth proportional to 27,948, 38,568.39 and 15,201.28 is: 20,977.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,948 : 38,568.39 = 15,201.28 : x
  2. Step 2: Convert to fraction form
    27,948/38,568.39 = 15,201.28/x
  3. Step 3: Cross multiply
    27,948x = 38,568.39 × 15,201.28
  4. Step 4: Simplify right side
    27,948x = 586,288,702.70
  5. Step 5: Solve for x
    x = 586,288,702.70/27,948
  6. Step 6: Final answer
    x = 20,977.84

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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.