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Finding the Fourth Proportional to 31,549.50, 47,310.39 and 11,814.22

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Solution

The fourth proportional to 31,549.50, 47,310.39 and 11,814.22 is: 17,716.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,549.50 : 47,310.39 = 11,814.22 : x
  2. Step 2: Convert to fraction form
    31,549.50/47,310.39 = 11,814.22/x
  3. Step 3: Cross multiply
    31,549.50x = 47,310.39 × 11,814.22
  4. Step 4: Simplify right side
    31,549.50x = 558,935,119.19
  5. Step 5: Solve for x
    x = 558,935,119.19/31,549.50
  6. Step 6: Final answer
    x = 17,716.13

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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.