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Finding the Fourth Proportional to 31,807.70, 47,673.15 and 16,217.30

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Solution

The fourth proportional to 31,807.70, 47,673.15 and 16,217.30 is: 24,306.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,807.70 : 47,673.15 = 16,217.30 : x
  2. Step 2: Convert to fraction form
    31,807.70/47,673.15 = 16,217.30/x
  3. Step 3: Cross multiply
    31,807.70x = 47,673.15 × 16,217.30
  4. Step 4: Simplify right side
    31,807.70x = 773,129,775.50
  5. Step 5: Solve for x
    x = 773,129,775.50/31,807.70
  6. Step 6: Final answer
    x = 24,306.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.