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Finding the Fourth Proportional to 49,833, 74,780.63 and 20,250.83

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Solution

The fourth proportional to 49,833, 74,780.63 and 20,250.83 is: 30,388.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,833 : 74,780.63 = 20,250.83 : x
  2. Step 2: Convert to fraction form
    49,833/74,780.63 = 20,250.83/x
  3. Step 3: Cross multiply
    49,833x = 74,780.63 × 20,250.83
  4. Step 4: Simplify right side
    49,833x = 1,514,369,350.27
  5. Step 5: Solve for x
    x = 1,514,369,350.27/49,833
  6. Step 6: Final answer
    x = 30,388.89

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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.