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Finding the Fourth Proportional to 49,299.84, 68,032.80 and 28,078.56

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Solution

The fourth proportional to 49,299.84, 68,032.80 and 28,078.56 is: 38,747.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,299.84 : 68,032.80 = 28,078.56 : x
  2. Step 2: Convert to fraction form
    49,299.84/68,032.80 = 28,078.56/x
  3. Step 3: Cross multiply
    49,299.84x = 68,032.80 × 28,078.56
  4. Step 4: Simplify right side
    49,299.84x = 1,910,263,056.77
  5. Step 5: Solve for x
    x = 1,910,263,056.77/49,299.84
  6. Step 6: Final answer
    x = 38,747.86

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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.