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Finding the Fourth Proportional to 38,433.80, 57,737.10 and 26,769.80

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Solution

The fourth proportional to 38,433.80, 57,737.10 and 26,769.80 is: 40,214.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,433.80 : 57,737.10 = 26,769.80 : x
  2. Step 2: Convert to fraction form
    38,433.80/57,737.10 = 26,769.80/x
  3. Step 3: Cross multiply
    38,433.80x = 57,737.10 × 26,769.80
  4. Step 4: Simplify right side
    38,433.80x = 1,545,610,619.58
  5. Step 5: Solve for x
    x = 1,545,610,619.58/38,433.80
  6. Step 6: Final answer
    x = 40,214.88

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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.