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Finding the Fourth Proportional to 32,092.58, 48,138.87 and 12,096.65

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Solution

The fourth proportional to 32,092.58, 48,138.87 and 12,096.65 is: 18,144.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,092.58 : 48,138.87 = 12,096.65 : x
  2. Step 2: Convert to fraction form
    32,092.58/48,138.87 = 12,096.65/x
  3. Step 3: Cross multiply
    32,092.58x = 48,138.87 × 12,096.65
  4. Step 4: Simplify right side
    32,092.58x = 582,319,227.50
  5. Step 5: Solve for x
    x = 582,319,227.50/32,092.58
  6. Step 6: Final answer
    x = 18,144.98

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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.