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Finding the Fourth Proportional to 31,482.96, 47,227.20 and 8,109.36

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Solution

The fourth proportional to 31,482.96, 47,227.20 and 8,109.36 is: 12,164.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,482.96 : 47,227.20 = 8,109.36 : x
  2. Step 2: Convert to fraction form
    31,482.96/47,227.20 = 8,109.36/x
  3. Step 3: Cross multiply
    31,482.96x = 47,227.20 × 8,109.36
  4. Step 4: Simplify right side
    31,482.96x = 382,982,366.59
  5. Step 5: Solve for x
    x = 382,982,366.59/31,482.96
  6. Step 6: Final answer
    x = 12,164.75

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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.