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Finding the Fourth Proportional to 31,814.50, 47,713.86 and 10,754.07

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Solution

The fourth proportional to 31,814.50, 47,713.86 and 10,754.07 is: 16,128.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,814.50 : 47,713.86 = 10,754.07 : x
  2. Step 2: Convert to fraction form
    31,814.50/47,713.86 = 10,754.07/x
  3. Step 3: Cross multiply
    31,814.50x = 47,713.86 × 10,754.07
  4. Step 4: Simplify right side
    31,814.50x = 513,118,190.41
  5. Step 5: Solve for x
    x = 513,118,190.41/31,814.50
  6. Step 6: Final answer
    x = 16,128.44

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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.