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Finding the Fourth Proportional to 49,467, 74,222.10 and 18,293.88

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Solution

The fourth proportional to 49,467, 74,222.10 and 18,293.88 is: 27,448.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,467 : 74,222.10 = 18,293.88 : x
  2. Step 2: Convert to fraction form
    49,467/74,222.10 = 18,293.88/x
  3. Step 3: Cross multiply
    49,467x = 74,222.10 × 18,293.88
  4. Step 4: Simplify right side
    49,467x = 1,357,810,190.75
  5. Step 5: Solve for x
    x = 1,357,810,190.75/49,467
  6. Step 6: Final answer
    x = 27,448.81

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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.