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Finding the Fourth Proportional to 31,530.94, 47,297.62 and 10,754.44

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Solution

The fourth proportional to 31,530.94, 47,297.62 and 10,754.44 is: 16,132.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,530.94 : 47,297.62 = 10,754.44 : x
  2. Step 2: Convert to fraction form
    31,530.94/47,297.62 = 10,754.44/x
  3. Step 3: Cross multiply
    31,530.94x = 47,297.62 × 10,754.44
  4. Step 4: Simplify right side
    31,530.94x = 508,659,311.63
  5. Step 5: Solve for x
    x = 508,659,311.63/31,530.94
  6. Step 6: Final answer
    x = 16,132.07

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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.