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Finding the Fourth Proportional to 49,132.12, 67,804.14 and 27,914.98

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Solution

The fourth proportional to 49,132.12, 67,804.14 and 27,914.98 is: 38,523.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,132.12 : 67,804.14 = 27,914.98 : x
  2. Step 2: Convert to fraction form
    49,132.12/67,804.14 = 27,914.98/x
  3. Step 3: Cross multiply
    49,132.12x = 67,804.14 × 27,914.98
  4. Step 4: Simplify right side
    49,132.12x = 1,892,751,212.02
  5. Step 5: Solve for x
    x = 1,892,751,212.02/49,132.12
  6. Step 6: Final answer
    x = 38,523.70

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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.