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Finding the Fourth Proportional to 126,006.75, 189,013.77 and 32,512.50

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Solution

The fourth proportional to 126,006.75, 189,013.77 and 32,512.50 is: 48,769.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,006.75 : 189,013.77 = 32,512.50 : x
  2. Step 2: Convert to fraction form
    126,006.75/189,013.77 = 32,512.50/x
  3. Step 3: Cross multiply
    126,006.75x = 189,013.77 × 32,512.50
  4. Step 4: Simplify right side
    126,006.75x = 6,145,310,197.13
  5. Step 5: Solve for x
    x = 6,145,310,197.13/126,006.75
  6. Step 6: Final answer
    x = 48,769.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.