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Finding the Fourth Proportional to 49,432.98, 68,222.42 and 28,215.44

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Solution

The fourth proportional to 49,432.98, 68,222.42 and 28,215.44 is: 38,940.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,432.98 : 68,222.42 = 28,215.44 : x
  2. Step 2: Convert to fraction form
    49,432.98/68,222.42 = 28,215.44/x
  3. Step 3: Cross multiply
    49,432.98x = 68,222.42 × 28,215.44
  4. Step 4: Simplify right side
    49,432.98x = 1,924,925,477.62
  5. Step 5: Solve for x
    x = 1,924,925,477.62/49,432.98
  6. Step 6: Final answer
    x = 38,940.10

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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.