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Finding the Fourth Proportional to 31,214.25, 46,826.03 and 11,491.29

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Solution

The fourth proportional to 31,214.25, 46,826.03 and 11,491.29 is: 17,238.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,214.25 : 46,826.03 = 11,491.29 : x
  2. Step 2: Convert to fraction form
    31,214.25/46,826.03 = 11,491.29/x
  3. Step 3: Cross multiply
    31,214.25x = 46,826.03 × 11,491.29
  4. Step 4: Simplify right side
    31,214.25x = 538,091,519.01
  5. Step 5: Solve for x
    x = 538,091,519.01/31,214.25
  6. Step 6: Final answer
    x = 17,238.65

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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.