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Finding the Fourth Proportional to 27,678.44, 38,195.70 and 15,103.40

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Solution

The fourth proportional to 27,678.44, 38,195.70 and 15,103.40 is: 20,842.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,678.44 : 38,195.70 = 15,103.40 : x
  2. Step 2: Convert to fraction form
    27,678.44/38,195.70 = 15,103.40/x
  3. Step 3: Cross multiply
    27,678.44x = 38,195.70 × 15,103.40
  4. Step 4: Simplify right side
    27,678.44x = 576,884,935.38
  5. Step 5: Solve for x
    x = 576,884,935.38/27,678.44
  6. Step 6: Final answer
    x = 20,842.39

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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.