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Finding the Fourth Proportional to 31,744.80, 47,602.80 and 12,016.80

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Solution

The fourth proportional to 31,744.80, 47,602.80 and 12,016.80 is: 18,019.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,744.80 : 47,602.80 = 12,016.80 : x
  2. Step 2: Convert to fraction form
    31,744.80/47,602.80 = 12,016.80/x
  3. Step 3: Cross multiply
    31,744.80x = 47,602.80 × 12,016.80
  4. Step 4: Simplify right side
    31,744.80x = 572,033,327.04
  5. Step 5: Solve for x
    x = 572,033,327.04/31,744.80
  6. Step 6: Final answer
    x = 18,019.75

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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.