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Finding the Fourth Proportional to 50,006.20, 74,951.70 and 20,409.40

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Solution

The fourth proportional to 50,006.20, 74,951.70 and 20,409.40 is: 30,590.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,006.20 : 74,951.70 = 20,409.40 : x
  2. Step 2: Convert to fraction form
    50,006.20/74,951.70 = 20,409.40/x
  3. Step 3: Cross multiply
    50,006.20x = 74,951.70 × 20,409.40
  4. Step 4: Simplify right side
    50,006.20x = 1,529,719,225.98
  5. Step 5: Solve for x
    x = 1,529,719,225.98/50,006.20
  6. Step 6: Final answer
    x = 30,590.59

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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.