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Finding the Fourth Proportional to 32,077.50, 48,103.92 and 11,013.62

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Solution

The fourth proportional to 32,077.50, 48,103.92 and 11,013.62 is: 16,516.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,077.50 : 48,103.92 = 11,013.62 : x
  2. Step 2: Convert to fraction form
    32,077.50/48,103.92 = 11,013.62/x
  3. Step 3: Cross multiply
    32,077.50x = 48,103.92 × 11,013.62
  4. Step 4: Simplify right side
    32,077.50x = 529,798,295.39
  5. Step 5: Solve for x
    x = 529,798,295.39/32,077.50
  6. Step 6: Final answer
    x = 16,516.20

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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.