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Finding the Fourth Proportional to 50,722.25, 76,068.50 and 19,109.50

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Solution

The fourth proportional to 50,722.25, 76,068.50 and 19,109.50 is: 28,658.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,722.25 : 76,068.50 = 19,109.50 : x
  2. Step 2: Convert to fraction form
    50,722.25/76,068.50 = 19,109.50/x
  3. Step 3: Cross multiply
    50,722.25x = 76,068.50 × 19,109.50
  4. Step 4: Simplify right side
    50,722.25x = 1,453,631,000.75
  5. Step 5: Solve for x
    x = 1,453,631,000.75/50,722.25
  6. Step 6: Final answer
    x = 28,658.65

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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.