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Finding the Fourth Proportional to 49,591.89, 68,420.16 and 28,078.70

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Solution

The fourth proportional to 49,591.89, 68,420.16 and 28,078.70 is: 38,739.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,591.89 : 68,420.16 = 28,078.70 : x
  2. Step 2: Convert to fraction form
    49,591.89/68,420.16 = 28,078.70/x
  3. Step 3: Cross multiply
    49,591.89x = 68,420.16 × 28,078.70
  4. Step 4: Simplify right side
    49,591.89x = 1,921,148,804.49
  5. Step 5: Solve for x
    x = 1,921,148,804.49/49,591.89
  6. Step 6: Final answer
    x = 38,739.17

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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.