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Finding the Fourth Proportional to 131,047.56, 196,571.22 and 32,551.56

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Solution

The fourth proportional to 131,047.56, 196,571.22 and 32,551.56 is: 48,827.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,047.56 : 196,571.22 = 32,551.56 : x
  2. Step 2: Convert to fraction form
    131,047.56/196,571.22 = 32,551.56/x
  3. Step 3: Cross multiply
    131,047.56x = 196,571.22 × 32,551.56
  4. Step 4: Simplify right side
    131,047.56x = 6,398,699,862.10
  5. Step 5: Solve for x
    x = 6,398,699,862.10/131,047.56
  6. Step 6: Final answer
    x = 48,827.31

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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.