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Finding the Fourth Proportional to 31,578.80, 47,359.56 and 11,855.84

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Solution

The fourth proportional to 31,578.80, 47,359.56 and 11,855.84 is: 17,780.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,578.80 : 47,359.56 = 11,855.84 : x
  2. Step 2: Convert to fraction form
    31,578.80/47,359.56 = 11,855.84/x
  3. Step 3: Cross multiply
    31,578.80x = 47,359.56 × 11,855.84
  4. Step 4: Simplify right side
    31,578.80x = 561,487,365.83
  5. Step 5: Solve for x
    x = 561,487,365.83/31,578.80
  6. Step 6: Final answer
    x = 17,780.52

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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.