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Finding the Fourth Proportional to 31,107.74, 46,647.02 and 11,372.49

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Solution

The fourth proportional to 31,107.74, 46,647.02 and 11,372.49 is: 17,053.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,107.74 : 46,647.02 = 11,372.49 : x
  2. Step 2: Convert to fraction form
    31,107.74/46,647.02 = 11,372.49/x
  3. Step 3: Cross multiply
    31,107.74x = 46,647.02 × 11,372.49
  4. Step 4: Simplify right side
    31,107.74x = 530,492,711.62
  5. Step 5: Solve for x
    x = 530,492,711.62/31,107.74
  6. Step 6: Final answer
    x = 17,053.40

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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.