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Finding the Fourth Proportional to 49,893.90, 74,796.83 and 20,336.46

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Solution

The fourth proportional to 49,893.90, 74,796.83 and 20,336.46 is: 30,486.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,893.90 : 74,796.83 = 20,336.46 : x
  2. Step 2: Convert to fraction form
    49,893.90/74,796.83 = 20,336.46/x
  3. Step 3: Cross multiply
    49,893.90x = 74,796.83 × 20,336.46
  4. Step 4: Simplify right side
    49,893.90x = 1,521,102,741.42
  5. Step 5: Solve for x
    x = 1,521,102,741.42/49,893.90
  6. Step 6: Final answer
    x = 30,486.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.