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Finding the Fourth Proportional to 31,199.75, 46,799.99 and 9,013.37

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Solution

The fourth proportional to 31,199.75, 46,799.99 and 9,013.37 is: 13,520.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,199.75 : 46,799.99 = 9,013.37 : x
  2. Step 2: Convert to fraction form
    31,199.75/46,799.99 = 9,013.37/x
  3. Step 3: Cross multiply
    31,199.75x = 46,799.99 × 9,013.37
  4. Step 4: Simplify right side
    31,199.75x = 421,825,625.87
  5. Step 5: Solve for x
    x = 421,825,625.87/31,199.75
  6. Step 6: Final answer
    x = 13,520.16

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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.