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Finding the Fourth Proportional to 49,078.56, 67,726.08 and 27,855

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Solution

The fourth proportional to 49,078.56, 67,726.08 and 27,855 is: 38,438.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,078.56 : 67,726.08 = 27,855 : x
  2. Step 2: Convert to fraction form
    49,078.56/67,726.08 = 27,855/x
  3. Step 3: Cross multiply
    49,078.56x = 67,726.08 × 27,855
  4. Step 4: Simplify right side
    49,078.56x = 1,886,509,958.40
  5. Step 5: Solve for x
    x = 1,886,509,958.40/49,078.56
  6. Step 6: Final answer
    x = 38,438.58

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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.