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Finding the Fourth Proportional to 32,568, 48,823.04 and 11,786.88

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Solution

The fourth proportional to 32,568, 48,823.04 and 11,786.88 is: 17,669.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,568 : 48,823.04 = 11,786.88 : x
  2. Step 2: Convert to fraction form
    32,568/48,823.04 = 11,786.88/x
  3. Step 3: Cross multiply
    32,568x = 48,823.04 × 11,786.88
  4. Step 4: Simplify right side
    32,568x = 575,471,313.72
  5. Step 5: Solve for x
    x = 575,471,313.72/32,568
  6. Step 6: Final answer
    x = 17,669.84

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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.