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Finding the Fourth Proportional to 32,076.50, 48,102.42 and 11,012.62

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Solution

The fourth proportional to 32,076.50, 48,102.42 and 11,012.62 is: 16,514.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,076.50 : 48,102.42 = 11,012.62 : x
  2. Step 2: Convert to fraction form
    32,076.50/48,102.42 = 11,012.62/x
  3. Step 3: Cross multiply
    32,076.50x = 48,102.42 × 11,012.62
  4. Step 4: Simplify right side
    32,076.50x = 529,733,672.54
  5. Step 5: Solve for x
    x = 529,733,672.54/32,076.50
  6. Step 6: Final answer
    x = 16,514.70

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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.