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Finding the Fourth Proportional to 61,576.94, 92,198.57 and 31,932.62

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Solution

The fourth proportional to 61,576.94, 92,198.57 and 31,932.62 is: 47,812.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,576.94 : 92,198.57 = 31,932.62 : x
  2. Step 2: Convert to fraction form
    61,576.94/92,198.57 = 31,932.62/x
  3. Step 3: Cross multiply
    61,576.94x = 92,198.57 × 31,932.62
  4. Step 4: Simplify right side
    61,576.94x = 2,944,141,279.70
  5. Step 5: Solve for x
    x = 2,944,141,279.70/61,576.94
  6. Step 6: Final answer
    x = 47,812.40

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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.