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Finding the Fourth Proportional to 126,006.25, 189,013.02 and 32,512

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Solution

The fourth proportional to 126,006.25, 189,013.02 and 32,512 is: 48,768.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,006.25 : 189,013.02 = 32,512 : x
  2. Step 2: Convert to fraction form
    126,006.25/189,013.02 = 32,512/x
  3. Step 3: Cross multiply
    126,006.25x = 189,013.02 × 32,512
  4. Step 4: Simplify right side
    126,006.25x = 6,145,191,306.24
  5. Step 5: Solve for x
    x = 6,145,191,306.24/126,006.25
  6. Step 6: Final answer
    x = 48,768.94

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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.