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Finding the Fourth Proportional to 31,277.84, 46,910.28 and 11,542.90

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Solution

The fourth proportional to 31,277.84, 46,910.28 and 11,542.90 is: 17,311.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,277.84 : 46,910.28 = 11,542.90 : x
  2. Step 2: Convert to fraction form
    31,277.84/46,910.28 = 11,542.90/x
  3. Step 3: Cross multiply
    31,277.84x = 46,910.28 × 11,542.90
  4. Step 4: Simplify right side
    31,277.84x = 541,480,671.01
  5. Step 5: Solve for x
    x = 541,480,671.01/31,277.84
  6. Step 6: Final answer
    x = 17,311.96

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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.