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Finding the Fourth Proportional to 72,097, 108,145.50 and 22,849

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Solution

The fourth proportional to 72,097, 108,145.50 and 22,849 is: 34,273.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,097 : 108,145.50 = 22,849 : x
  2. Step 2: Convert to fraction form
    72,097/108,145.50 = 22,849/x
  3. Step 3: Cross multiply
    72,097x = 108,145.50 × 22,849
  4. Step 4: Simplify right side
    72,097x = 2,471,016,529.50
  5. Step 5: Solve for x
    x = 2,471,016,529.50/72,097
  6. Step 6: Final answer
    x = 34,273.50

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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.