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Finding the Fourth Proportional to 49,078.92, 67,731.02 and 27,860.16

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Solution

The fourth proportional to 49,078.92, 67,731.02 and 27,860.16 is: 38,448.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,078.92 : 67,731.02 = 27,860.16 : x
  2. Step 2: Convert to fraction form
    49,078.92/67,731.02 = 27,860.16/x
  3. Step 3: Cross multiply
    49,078.92x = 67,731.02 × 27,860.16
  4. Step 4: Simplify right side
    49,078.92x = 1,886,997,054.16
  5. Step 5: Solve for x
    x = 1,886,997,054.16/49,078.92
  6. Step 6: Final answer
    x = 38,448.22

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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.