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Finding the Fourth Proportional to 50,458.42, 75,722.82 and 20,876.50

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Solution

The fourth proportional to 50,458.42, 75,722.82 and 20,876.50 is: 31,329.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,458.42 : 75,722.82 = 20,876.50 : x
  2. Step 2: Convert to fraction form
    50,458.42/75,722.82 = 20,876.50/x
  3. Step 3: Cross multiply
    50,458.42x = 75,722.82 × 20,876.50
  4. Step 4: Simplify right side
    50,458.42x = 1,580,827,451.73
  5. Step 5: Solve for x
    x = 1,580,827,451.73/50,458.42
  6. Step 6: Final answer
    x = 31,329.31

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