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Finding the Fourth Proportional to 80,097, 120,155.22 and 24,693

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Solution

The fourth proportional to 80,097, 120,155.22 and 24,693 is: 37,042.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,097 : 120,155.22 = 24,693 : x
  2. Step 2: Convert to fraction form
    80,097/120,155.22 = 24,693/x
  3. Step 3: Cross multiply
    80,097x = 120,155.22 × 24,693
  4. Step 4: Simplify right side
    80,097x = 2,966,992,847.46
  5. Step 5: Solve for x
    x = 2,966,992,847.46/80,097
  6. Step 6: Final answer
    x = 37,042.50

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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.