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Finding the Fourth Proportional to 32,329.33, 48,474.65 and 12,584.77

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Solution

The fourth proportional to 32,329.33, 48,474.65 and 12,584.77 is: 18,869.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,329.33 : 48,474.65 = 12,584.77 : x
  2. Step 2: Convert to fraction form
    32,329.33/48,474.65 = 12,584.77/x
  3. Step 3: Cross multiply
    32,329.33x = 48,474.65 × 12,584.77
  4. Step 4: Simplify right side
    32,329.33x = 610,042,231.36
  5. Step 5: Solve for x
    x = 610,042,231.36/32,329.33
  6. Step 6: Final answer
    x = 18,869.62

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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.