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Finding the Fourth Proportional to 49,842.60, 74,762.28 and 20,251.68

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Solution

The fourth proportional to 49,842.60, 74,762.28 and 20,251.68 is: 30,376.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,842.60 : 74,762.28 = 20,251.68 : x
  2. Step 2: Convert to fraction form
    49,842.60/74,762.28 = 20,251.68/x
  3. Step 3: Cross multiply
    49,842.60x = 74,762.28 × 20,251.68
  4. Step 4: Simplify right side
    49,842.60x = 1,514,061,770.63
  5. Step 5: Solve for x
    x = 1,514,061,770.63/49,842.60
  6. Step 6: Final answer
    x = 30,376.86

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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.