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Finding the Fourth Proportional to 49,755.44, 74,605.08 and 18,578

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Solution

The fourth proportional to 49,755.44, 74,605.08 and 18,578 is: 27,856.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,755.44 : 74,605.08 = 18,578 : x
  2. Step 2: Convert to fraction form
    49,755.44/74,605.08 = 18,578/x
  3. Step 3: Cross multiply
    49,755.44x = 74,605.08 × 18,578
  4. Step 4: Simplify right side
    49,755.44x = 1,386,013,176.24
  5. Step 5: Solve for x
    x = 1,386,013,176.24/49,755.44
  6. Step 6: Final answer
    x = 27,856.52

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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.