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Finding the Fourth Proportional to 32,769.27, 49,074.28 and 18,686.80

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Solution

The fourth proportional to 32,769.27, 49,074.28 and 18,686.80 is: 27,984.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,769.27 : 49,074.28 = 18,686.80 : x
  2. Step 2: Convert to fraction form
    32,769.27/49,074.28 = 18,686.80/x
  3. Step 3: Cross multiply
    32,769.27x = 49,074.28 × 18,686.80
  4. Step 4: Simplify right side
    32,769.27x = 917,041,255.50
  5. Step 5: Solve for x
    x = 917,041,255.50/32,769.27
  6. Step 6: Final answer
    x = 27,984.79

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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.