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Finding the Fourth Proportional to 49,320.70, 68,034.27 and 28,096

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Solution

The fourth proportional to 49,320.70, 68,034.27 and 28,096 is: 38,756.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,320.70 : 68,034.27 = 28,096 : x
  2. Step 2: Convert to fraction form
    49,320.70/68,034.27 = 28,096/x
  3. Step 3: Cross multiply
    49,320.70x = 68,034.27 × 28,096
  4. Step 4: Simplify right side
    49,320.70x = 1,911,490,849.92
  5. Step 5: Solve for x
    x = 1,911,490,849.92/49,320.70
  6. Step 6: Final answer
    x = 38,756.36

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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.