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Finding the Fourth Proportional to 31,814.34, 47,701.91 and 10,752.39

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Solution

The fourth proportional to 31,814.34, 47,701.91 and 10,752.39 is: 16,121.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,814.34 : 47,701.91 = 10,752.39 : x
  2. Step 2: Convert to fraction form
    31,814.34/47,701.91 = 10,752.39/x
  3. Step 3: Cross multiply
    31,814.34x = 47,701.91 × 10,752.39
  4. Step 4: Simplify right side
    31,814.34x = 512,909,486.30
  5. Step 5: Solve for x
    x = 512,909,486.30/31,814.34
  6. Step 6: Final answer
    x = 16,121.96

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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.