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Finding the Fourth Proportional to 27,653.38, 38,161.86 and 15,078.12

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Solution

The fourth proportional to 27,653.38, 38,161.86 and 15,078.12 is: 20,807.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,653.38 : 38,161.86 = 15,078.12 : x
  2. Step 2: Convert to fraction form
    27,653.38/38,161.86 = 15,078.12/x
  3. Step 3: Cross multiply
    27,653.38x = 38,161.86 × 15,078.12
  4. Step 4: Simplify right side
    27,653.38x = 575,409,104.50
  5. Step 5: Solve for x
    x = 575,409,104.50/27,653.38
  6. Step 6: Final answer
    x = 20,807.91

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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.