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Finding the Fourth Proportional to 69,971.92, 104,923.32 and 23,209

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Solution

The fourth proportional to 69,971.92, 104,923.32 and 23,209 is: 34,802.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,971.92 : 104,923.32 = 23,209 : x
  2. Step 2: Convert to fraction form
    69,971.92/104,923.32 = 23,209/x
  3. Step 3: Cross multiply
    69,971.92x = 104,923.32 × 23,209
  4. Step 4: Simplify right side
    69,971.92x = 2,435,165,333.88
  5. Step 5: Solve for x
    x = 2,435,165,333.88/69,971.92
  6. Step 6: Final answer
    x = 34,802.04

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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.