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Finding the Fourth Proportional to 49,325.72, 68,076.16 and 27,819.88

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Solution

The fourth proportional to 49,325.72, 68,076.16 and 27,819.88 is: 38,395.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,325.72 : 68,076.16 = 27,819.88 : x
  2. Step 2: Convert to fraction form
    49,325.72/68,076.16 = 27,819.88/x
  3. Step 3: Cross multiply
    49,325.72x = 68,076.16 × 27,819.88
  4. Step 4: Simplify right side
    49,325.72x = 1,893,870,602.06
  5. Step 5: Solve for x
    x = 1,893,870,602.06/49,325.72
  6. Step 6: Final answer
    x = 38,395.19

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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.