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Finding the Fourth Proportional to 32,382.91, 48,580.91 and 13,662.99

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Solution

The fourth proportional to 32,382.91, 48,580.91 and 13,662.99 is: 20,497.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,382.91 : 48,580.91 = 13,662.99 : x
  2. Step 2: Convert to fraction form
    32,382.91/48,580.91 = 13,662.99/x
  3. Step 3: Cross multiply
    32,382.91x = 48,580.91 × 13,662.99
  4. Step 4: Simplify right side
    32,382.91x = 663,760,295.38
  5. Step 5: Solve for x
    x = 663,760,295.38/32,382.91
  6. Step 6: Final answer
    x = 20,497.24

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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.