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Finding the Fourth Proportional to 32,809.80, 49,141.80 and 26,977.80

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Solution

The fourth proportional to 32,809.80, 49,141.80 and 26,977.80 is: 40,406.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,809.80 : 49,141.80 = 26,977.80 : x
  2. Step 2: Convert to fraction form
    32,809.80/49,141.80 = 26,977.80/x
  3. Step 3: Cross multiply
    32,809.80x = 49,141.80 × 26,977.80
  4. Step 4: Simplify right side
    32,809.80x = 1,325,737,652.04
  5. Step 5: Solve for x
    x = 1,325,737,652.04/32,809.80
  6. Step 6: Final answer
    x = 40,406.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.