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Finding the Fourth Proportional to 80,122.52, 120,148.71 and 38,014.61

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Solution

The fourth proportional to 80,122.52, 120,148.71 and 38,014.61 is: 57,005.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,122.52 : 120,148.71 = 38,014.61 : x
  2. Step 2: Convert to fraction form
    80,122.52/120,148.71 = 38,014.61/x
  3. Step 3: Cross multiply
    80,122.52x = 120,148.71 × 38,014.61
  4. Step 4: Simplify right side
    80,122.52x = 4,567,405,751.91
  5. Step 5: Solve for x
    x = 4,567,405,751.91/80,122.52
  6. Step 6: Final answer
    x = 57,005.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.