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Finding the Fourth Proportional to 31,780.80, 47,655.84 and 18,637.44

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Solution

The fourth proportional to 31,780.80, 47,655.84 and 18,637.44 is: 27,947.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,780.80 : 47,655.84 = 18,637.44 : x
  2. Step 2: Convert to fraction form
    31,780.80/47,655.84 = 18,637.44/x
  3. Step 3: Cross multiply
    31,780.80x = 47,655.84 × 18,637.44
  4. Step 4: Simplify right side
    31,780.80x = 888,182,858.65
  5. Step 5: Solve for x
    x = 888,182,858.65/31,780.80
  6. Step 6: Final answer
    x = 27,947.15

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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.