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Finding the Fourth Proportional to 31,853.50, 47,786.02 and 13,123.13

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Solution

The fourth proportional to 31,853.50, 47,786.02 and 13,123.13 is: 19,687.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,853.50 : 47,786.02 = 13,123.13 : x
  2. Step 2: Convert to fraction form
    31,853.50/47,786.02 = 13,123.13/x
  3. Step 3: Cross multiply
    31,853.50x = 47,786.02 × 13,123.13
  4. Step 4: Simplify right side
    31,853.50x = 627,101,880.90
  5. Step 5: Solve for x
    x = 627,101,880.90/31,853.50
  6. Step 6: Final answer
    x = 19,687.07

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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.