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Finding the Fourth Proportional to 31,265.88, 46,887.75 and 11,539.14

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Solution

The fourth proportional to 31,265.88, 46,887.75 and 11,539.14 is: 17,304.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,265.88 : 46,887.75 = 11,539.14 : x
  2. Step 2: Convert to fraction form
    31,265.88/46,887.75 = 11,539.14/x
  3. Step 3: Cross multiply
    31,265.88x = 46,887.75 × 11,539.14
  4. Step 4: Simplify right side
    31,265.88x = 541,044,311.54
  5. Step 5: Solve for x
    x = 541,044,311.54/31,265.88
  6. Step 6: Final answer
    x = 17,304.62

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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.