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Finding the Fourth Proportional to 49,319.84, 68,057.88 and 28,095.20

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Solution

The fourth proportional to 49,319.84, 68,057.88 and 28,095.20 is: 38,769.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,319.84 : 68,057.88 = 28,095.20 : x
  2. Step 2: Convert to fraction form
    49,319.84/68,057.88 = 28,095.20/x
  3. Step 3: Cross multiply
    49,319.84x = 68,057.88 × 28,095.20
  4. Step 4: Simplify right side
    49,319.84x = 1,912,099,750.18
  5. Step 5: Solve for x
    x = 1,912,099,750.18/49,319.84
  6. Step 6: Final answer
    x = 38,769.38

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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.