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Finding the Fourth Proportional to 31,951.67, 47,952.10 and 14,433.80

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Solution

The fourth proportional to 31,951.67, 47,952.10 and 14,433.80 is: 21,661.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,951.67 : 47,952.10 = 14,433.80 : x
  2. Step 2: Convert to fraction form
    31,951.67/47,952.10 = 14,433.80/x
  3. Step 3: Cross multiply
    31,951.67x = 47,952.10 × 14,433.80
  4. Step 4: Simplify right side
    31,951.67x = 692,130,799.26
  5. Step 5: Solve for x
    x = 692,130,799.26/31,951.67
  6. Step 6: Final answer
    x = 21,661.81

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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.