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Finding the Fourth Proportional to 49,656, 74,484.68 and 27,512.63

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Solution

The fourth proportional to 49,656, 74,484.68 and 27,512.63 is: 41,269.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,656 : 74,484.68 = 27,512.63 : x
  2. Step 2: Convert to fraction form
    49,656/74,484.68 = 27,512.63/x
  3. Step 3: Cross multiply
    49,656x = 74,484.68 × 27,512.63
  4. Step 4: Simplify right side
    49,656x = 2,049,269,137.87
  5. Step 5: Solve for x
    x = 2,049,269,137.87/49,656
  6. Step 6: Final answer
    x = 41,269.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.