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Finding the Fourth Proportional to 49,220.74, 67,924.89 and 28,000

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Solution

The fourth proportional to 49,220.74, 67,924.89 and 28,000 is: 38,640.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,220.74 : 67,924.89 = 28,000 : x
  2. Step 2: Convert to fraction form
    49,220.74/67,924.89 = 28,000/x
  3. Step 3: Cross multiply
    49,220.74x = 67,924.89 × 28,000
  4. Step 4: Simplify right side
    49,220.74x = 1,901,896,990
  5. Step 5: Solve for x
    x = 1,901,896,990/49,220.74
  6. Step 6: Final answer
    x = 38,640.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.