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Finding the Fourth Proportional to 96,481.48, 144,722.24 and 29,920

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Solution

The fourth proportional to 96,481.48, 144,722.24 and 29,920 is: 44,880.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,481.48 : 144,722.24 = 29,920 : x
  2. Step 2: Convert to fraction form
    96,481.48/144,722.24 = 29,920/x
  3. Step 3: Cross multiply
    96,481.48x = 144,722.24 × 29,920
  4. Step 4: Simplify right side
    96,481.48x = 4,330,089,420.80
  5. Step 5: Solve for x
    x = 4,330,089,420.80/96,481.48
  6. Step 6: Final answer
    x = 44,880.01

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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.