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Finding the Fourth Proportional to 49,874.87, 68,779.31 and 33,558.84

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Solution

The fourth proportional to 49,874.87, 68,779.31 and 33,558.84 is: 46,278.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,874.87 : 68,779.31 = 33,558.84 : x
  2. Step 2: Convert to fraction form
    49,874.87/68,779.31 = 33,558.84/x
  3. Step 3: Cross multiply
    49,874.87x = 68,779.31 × 33,558.84
  4. Step 4: Simplify right side
    49,874.87x = 2,308,153,691.81
  5. Step 5: Solve for x
    x = 2,308,153,691.81/49,874.87
  6. Step 6: Final answer
    x = 46,278.90

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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.