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Finding the Fourth Proportional to 32,575.37, 44,912.78 and 27,785.84

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Solution

The fourth proportional to 32,575.37, 44,912.78 and 27,785.84 is: 38,309.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,575.37 : 44,912.78 = 27,785.84 : x
  2. Step 2: Convert to fraction form
    32,575.37/44,912.78 = 27,785.84/x
  3. Step 3: Cross multiply
    32,575.37x = 44,912.78 × 27,785.84
  4. Step 4: Simplify right side
    32,575.37x = 1,247,939,059.74
  5. Step 5: Solve for x
    x = 1,247,939,059.74/32,575.37
  6. Step 6: Final answer
    x = 38,309.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.