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Finding the Fourth Proportional to 49,182.84, 73,775.34 and 18,018

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Solution

The fourth proportional to 49,182.84, 73,775.34 and 18,018 is: 27,027.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,182.84 : 73,775.34 = 18,018 : x
  2. Step 2: Convert to fraction form
    49,182.84/73,775.34 = 18,018/x
  3. Step 3: Cross multiply
    49,182.84x = 73,775.34 × 18,018
  4. Step 4: Simplify right side
    49,182.84x = 1,329,284,076.12
  5. Step 5: Solve for x
    x = 1,329,284,076.12/49,182.84
  6. Step 6: Final answer
    x = 27,027.40

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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.