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Finding the Fourth Proportional to 71,851.90, 107,783.31 and 24,452.32

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Solution

The fourth proportional to 71,851.90, 107,783.31 and 24,452.32 is: 36,680.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,851.90 : 107,783.31 = 24,452.32 : x
  2. Step 2: Convert to fraction form
    71,851.90/107,783.31 = 24,452.32/x
  3. Step 3: Cross multiply
    71,851.90x = 107,783.31 × 24,452.32
  4. Step 4: Simplify right side
    71,851.90x = 2,635,551,447.86
  5. Step 5: Solve for x
    x = 2,635,551,447.86/71,851.90
  6. Step 6: Final answer
    x = 36,680.33

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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.