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Finding the Fourth Proportional to 49,742, 74,633.88 and 20,180.96

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Solution

The fourth proportional to 49,742, 74,633.88 and 20,180.96 is: 30,279.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,742 : 74,633.88 = 20,180.96 : x
  2. Step 2: Convert to fraction form
    49,742/74,633.88 = 20,180.96/x
  3. Step 3: Cross multiply
    49,742x = 74,633.88 × 20,180.96
  4. Step 4: Simplify right side
    49,742x = 1,506,183,346.92
  5. Step 5: Solve for x
    x = 1,506,183,346.92/49,742
  6. Step 6: Final answer
    x = 30,279.91

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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.