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Finding the Fourth Proportional to 80,038.10, 120,063.22 and 23,873.82

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Solution

The fourth proportional to 80,038.10, 120,063.22 and 23,873.82 is: 35,812.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,038.10 : 120,063.22 = 23,873.82 : x
  2. Step 2: Convert to fraction form
    80,038.10/120,063.22 = 23,873.82/x
  3. Step 3: Cross multiply
    80,038.10x = 120,063.22 × 23,873.82
  4. Step 4: Simplify right side
    80,038.10x = 2,866,367,702.90
  5. Step 5: Solve for x
    x = 2,866,367,702.90/80,038.10
  6. Step 6: Final answer
    x = 35,812.54

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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.