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Finding the Fourth Proportional to 49,314.39, 68,050.44 and 27,804.90

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Solution

The fourth proportional to 49,314.39, 68,050.44 and 27,804.90 is: 38,368.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,314.39 : 68,050.44 = 27,804.90 : x
  2. Step 2: Convert to fraction form
    49,314.39/68,050.44 = 27,804.90/x
  3. Step 3: Cross multiply
    49,314.39x = 68,050.44 × 27,804.90
  4. Step 4: Simplify right side
    49,314.39x = 1,892,135,679.16
  5. Step 5: Solve for x
    x = 1,892,135,679.16/49,314.39
  6. Step 6: Final answer
    x = 38,368.83

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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.