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Finding the Fourth Proportional to 78,787.24, 118,180.80 and 23,383.24

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Solution

The fourth proportional to 78,787.24, 118,180.80 and 23,383.24 is: 35,074.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,787.24 : 118,180.80 = 23,383.24 : x
  2. Step 2: Convert to fraction form
    78,787.24/118,180.80 = 23,383.24/x
  3. Step 3: Cross multiply
    78,787.24x = 118,180.80 × 23,383.24
  4. Step 4: Simplify right side
    78,787.24x = 2,763,450,009.79
  5. Step 5: Solve for x
    x = 2,763,450,009.79/78,787.24
  6. Step 6: Final answer
    x = 35,074.84

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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.