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Finding the Fourth Proportional to 31,846.04, 47,769 and 8,472.48

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Solution

The fourth proportional to 31,846.04, 47,769 and 8,472.48 is: 12,708.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,846.04 : 47,769 = 8,472.48 : x
  2. Step 2: Convert to fraction form
    31,846.04/47,769 = 8,472.48/x
  3. Step 3: Cross multiply
    31,846.04x = 47,769 × 8,472.48
  4. Step 4: Simplify right side
    31,846.04x = 404,721,897.12
  5. Step 5: Solve for x
    x = 404,721,897.12/31,846.04
  6. Step 6: Final answer
    x = 12,708.70

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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.