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Finding the Fourth Proportional to 32,213.28, 48,302.04 and 11,142

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Solution

The fourth proportional to 32,213.28, 48,302.04 and 11,142 is: 16,706.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,213.28 : 48,302.04 = 11,142 : x
  2. Step 2: Convert to fraction form
    32,213.28/48,302.04 = 11,142/x
  3. Step 3: Cross multiply
    32,213.28x = 48,302.04 × 11,142
  4. Step 4: Simplify right side
    32,213.28x = 538,181,329.68
  5. Step 5: Solve for x
    x = 538,181,329.68/32,213.28
  6. Step 6: Final answer
    x = 16,706.82

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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.