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Finding the Fourth Proportional to 49,093.59, 67,749.62 and 27,873.32

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Solution

The fourth proportional to 49,093.59, 67,749.62 and 27,873.32 is: 38,465.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,093.59 : 67,749.62 = 27,873.32 : x
  2. Step 2: Convert to fraction form
    49,093.59/67,749.62 = 27,873.32/x
  3. Step 3: Cross multiply
    49,093.59x = 67,749.62 × 27,873.32
  4. Step 4: Simplify right side
    49,093.59x = 1,888,406,360.02
  5. Step 5: Solve for x
    x = 1,888,406,360.02/49,093.59
  6. Step 6: Final answer
    x = 38,465.43

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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.