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Finding the Fourth Proportional to 31,299.93, 46,960.83 and 13,771.13

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Solution

The fourth proportional to 31,299.93, 46,960.83 and 13,771.13 is: 20,661.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,299.93 : 46,960.83 = 13,771.13 : x
  2. Step 2: Convert to fraction form
    31,299.93/46,960.83 = 13,771.13/x
  3. Step 3: Cross multiply
    31,299.93x = 46,960.83 × 13,771.13
  4. Step 4: Simplify right side
    31,299.93x = 646,703,460.03
  5. Step 5: Solve for x
    x = 646,703,460.03/31,299.93
  6. Step 6: Final answer
    x = 20,661.50

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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.