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Finding the Fourth Proportional to 117,586.52, 176,399.24 and 54,469.72

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Solution

The fourth proportional to 117,586.52, 176,399.24 and 54,469.72 is: 81,713.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,586.52 : 176,399.24 = 54,469.72 : x
  2. Step 2: Convert to fraction form
    117,586.52/176,399.24 = 54,469.72/x
  3. Step 3: Cross multiply
    117,586.52x = 176,399.24 × 54,469.72
  4. Step 4: Simplify right side
    117,586.52x = 9,608,417,211.01
  5. Step 5: Solve for x
    x = 9,608,417,211.01/117,586.52
  6. Step 6: Final answer
    x = 81,713.59

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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.