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Finding the Fourth Proportional to 32,674.31, 48,932.52 and 18,591.68

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Solution

The fourth proportional to 32,674.31, 48,932.52 and 18,591.68 is: 27,842.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,674.31 : 48,932.52 = 18,591.68 : x
  2. Step 2: Convert to fraction form
    32,674.31/48,932.52 = 18,591.68/x
  3. Step 3: Cross multiply
    32,674.31x = 48,932.52 × 18,591.68
  4. Step 4: Simplify right side
    32,674.31x = 909,737,415.81
  5. Step 5: Solve for x
    x = 909,737,415.81/32,674.31
  6. Step 6: Final answer
    x = 27,842.59

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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.