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Finding the Fourth Proportional to 49,273.74, 73,910.13 and 12,337.74

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Solution

The fourth proportional to 49,273.74, 73,910.13 and 12,337.74 is: 18,506.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,273.74 : 73,910.13 = 12,337.74 : x
  2. Step 2: Convert to fraction form
    49,273.74/73,910.13 = 12,337.74/x
  3. Step 3: Cross multiply
    49,273.74x = 73,910.13 × 12,337.74
  4. Step 4: Simplify right side
    49,273.74x = 911,883,967.31
  5. Step 5: Solve for x
    x = 911,883,967.31/49,273.74
  6. Step 6: Final answer
    x = 18,506.49

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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.