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Finding the Fourth Proportional to 32,776.62, 49,121.01 and 30,677.10

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Solution

The fourth proportional to 32,776.62, 49,121.01 and 30,677.10 is: 45,974.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,776.62 : 49,121.01 = 30,677.10 : x
  2. Step 2: Convert to fraction form
    32,776.62/49,121.01 = 30,677.10/x
  3. Step 3: Cross multiply
    32,776.62x = 49,121.01 × 30,677.10
  4. Step 4: Simplify right side
    32,776.62x = 1,506,890,135.87
  5. Step 5: Solve for x
    x = 1,506,890,135.87/32,776.62
  6. Step 6: Final answer
    x = 45,974.54

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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.