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Finding the Fourth Proportional to 131,989.86, 197,984.88 and 32,149.50

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Solution

The fourth proportional to 131,989.86, 197,984.88 and 32,149.50 is: 48,224.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,989.86 : 197,984.88 = 32,149.50 : x
  2. Step 2: Convert to fraction form
    131,989.86/197,984.88 = 32,149.50/x
  3. Step 3: Cross multiply
    131,989.86x = 197,984.88 × 32,149.50
  4. Step 4: Simplify right side
    131,989.86x = 6,365,114,899.56
  5. Step 5: Solve for x
    x = 6,365,114,899.56/131,989.86
  6. Step 6: Final answer
    x = 48,224.27

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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.