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Finding the Fourth Proportional to 31,265.96, 46,883.82 and 11,553.80

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Solution

The fourth proportional to 31,265.96, 46,883.82 and 11,553.80 is: 17,325.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,265.96 : 46,883.82 = 11,553.80 : x
  2. Step 2: Convert to fraction form
    31,265.96/46,883.82 = 11,553.80/x
  3. Step 3: Cross multiply
    31,265.96x = 46,883.82 × 11,553.80
  4. Step 4: Simplify right side
    31,265.96x = 541,686,279.52
  5. Step 5: Solve for x
    x = 541,686,279.52/31,265.96
  6. Step 6: Final answer
    x = 17,325.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.