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Finding the Fourth Proportional to 31,619, 47,434.74 and 14,079.80

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Solution

The fourth proportional to 31,619, 47,434.74 and 14,079.80 is: 21,122.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,619 : 47,434.74 = 14,079.80 : x
  2. Step 2: Convert to fraction form
    31,619/47,434.74 = 14,079.80/x
  3. Step 3: Cross multiply
    31,619x = 47,434.74 × 14,079.80
  4. Step 4: Simplify right side
    31,619x = 667,871,652.25
  5. Step 5: Solve for x
    x = 667,871,652.25/31,619
  6. Step 6: Final answer
    x = 21,122.48

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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.