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Finding the Fourth Proportional to 31,179.72, 46,788.02 and 11,472.11

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Solution

The fourth proportional to 31,179.72, 46,788.02 and 11,472.11 is: 17,214.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,179.72 : 46,788.02 = 11,472.11 : x
  2. Step 2: Convert to fraction form
    31,179.72/46,788.02 = 11,472.11/x
  3. Step 3: Cross multiply
    31,179.72x = 46,788.02 × 11,472.11
  4. Step 4: Simplify right side
    31,179.72x = 536,757,020.82
  5. Step 5: Solve for x
    x = 536,757,020.82/31,179.72
  6. Step 6: Final answer
    x = 17,214.94

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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.