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Finding the Fourth Proportional to 96,775.86, 145,219.84 and 40,611

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Solution

The fourth proportional to 96,775.86, 145,219.84 and 40,611 is: 60,940.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,775.86 : 145,219.84 = 40,611 : x
  2. Step 2: Convert to fraction form
    96,775.86/145,219.84 = 40,611/x
  3. Step 3: Cross multiply
    96,775.86x = 145,219.84 × 40,611
  4. Step 4: Simplify right side
    96,775.86x = 5,897,522,922.24
  5. Step 5: Solve for x
    x = 5,897,522,922.24/96,775.86
  6. Step 6: Final answer
    x = 60,940.02

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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.