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Finding the Fourth Proportional to 31,215.57, 46,801.45 and 11,491.60

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Solution

The fourth proportional to 31,215.57, 46,801.45 and 11,491.60 is: 17,229.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,215.57 : 46,801.45 = 11,491.60 : x
  2. Step 2: Convert to fraction form
    31,215.57/46,801.45 = 11,491.60/x
  3. Step 3: Cross multiply
    31,215.57x = 46,801.45 × 11,491.60
  4. Step 4: Simplify right side
    31,215.57x = 537,823,542.82
  5. Step 5: Solve for x
    x = 537,823,542.82/31,215.57
  6. Step 6: Final answer
    x = 17,229.34

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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.