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Finding the Fourth Proportional to 32,382.66, 48,580.54 and 13,662.75

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Solution

The fourth proportional to 32,382.66, 48,580.54 and 13,662.75 is: 20,496.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,382.66 : 48,580.54 = 13,662.75 : x
  2. Step 2: Convert to fraction form
    32,382.66/48,580.54 = 13,662.75/x
  3. Step 3: Cross multiply
    32,382.66x = 48,580.54 × 13,662.75
  4. Step 4: Simplify right side
    32,382.66x = 663,743,564.14
  5. Step 5: Solve for x
    x = 663,743,564.14/32,382.66
  6. Step 6: Final answer
    x = 20,496.88

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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.