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Finding the Fourth Proportional to 32,576.92, 48,861.16 and 13,853.48

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Solution

The fourth proportional to 32,576.92, 48,861.16 and 13,853.48 is: 20,778.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,576.92 : 48,861.16 = 13,853.48 : x
  2. Step 2: Convert to fraction form
    32,576.92/48,861.16 = 13,853.48/x
  3. Step 3: Cross multiply
    32,576.92x = 48,861.16 × 13,853.48
  4. Step 4: Simplify right side
    32,576.92x = 676,897,102.84
  5. Step 5: Solve for x
    x = 676,897,102.84/32,576.92
  6. Step 6: Final answer
    x = 20,778.43

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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.