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Finding the Fourth Proportional to 31,003, 46,504.54 and 14,353.96

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Solution

The fourth proportional to 31,003, 46,504.54 and 14,353.96 is: 21,530.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,003 : 46,504.54 = 14,353.96 : x
  2. Step 2: Convert to fraction form
    31,003/46,504.54 = 14,353.96/x
  3. Step 3: Cross multiply
    31,003x = 46,504.54 × 14,353.96
  4. Step 4: Simplify right side
    31,003x = 667,524,306.98
  5. Step 5: Solve for x
    x = 667,524,306.98/31,003
  6. Step 6: Final answer
    x = 21,530.96

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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.