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Finding the Fourth Proportional to 78,902.96, 118,362.32 and 22,744.44

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Solution

The fourth proportional to 78,902.96, 118,362.32 and 22,744.44 is: 34,118.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,902.96 : 118,362.32 = 22,744.44 : x
  2. Step 2: Convert to fraction form
    78,902.96/118,362.32 = 22,744.44/x
  3. Step 3: Cross multiply
    78,902.96x = 118,362.32 × 22,744.44
  4. Step 4: Simplify right side
    78,902.96x = 2,692,084,571.78
  5. Step 5: Solve for x
    x = 2,692,084,571.78/78,902.96
  6. Step 6: Final answer
    x = 34,118.93

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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.