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Finding the Fourth Proportional to 31,808.20, 47,673.90 and 16,217.80

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Solution

The fourth proportional to 31,808.20, 47,673.90 and 16,217.80 is: 24,307.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,808.20 : 47,673.90 = 16,217.80 : x
  2. Step 2: Convert to fraction form
    31,808.20/47,673.90 = 16,217.80/x
  3. Step 3: Cross multiply
    31,808.20x = 47,673.90 × 16,217.80
  4. Step 4: Simplify right side
    31,808.20x = 773,165,775.42
  5. Step 5: Solve for x
    x = 773,165,775.42/31,808.20
  6. Step 6: Final answer
    x = 24,307.12

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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.