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Finding the Fourth Proportional to 31,780.92, 47,662.23 and 12,805.50

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Solution

The fourth proportional to 31,780.92, 47,662.23 and 12,805.50 is: 19,204.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,780.92 : 47,662.23 = 12,805.50 : x
  2. Step 2: Convert to fraction form
    31,780.92/47,662.23 = 12,805.50/x
  3. Step 3: Cross multiply
    31,780.92x = 47,662.23 × 12,805.50
  4. Step 4: Simplify right side
    31,780.92x = 610,338,686.27
  5. Step 5: Solve for x
    x = 610,338,686.27/31,780.92
  6. Step 6: Final answer
    x = 19,204.56

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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.