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Finding the Fourth Proportional to 31,179.74, 46,788.03 and 11,472.12

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Solution

The fourth proportional to 31,179.74, 46,788.03 and 11,472.12 is: 17,214.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,179.74 : 46,788.03 = 11,472.12 : x
  2. Step 2: Convert to fraction form
    31,179.74/46,788.03 = 11,472.12/x
  3. Step 3: Cross multiply
    31,179.74x = 46,788.03 × 11,472.12
  4. Step 4: Simplify right side
    31,179.74x = 536,757,894.72
  5. Step 5: Solve for x
    x = 536,757,894.72/31,179.74
  6. Step 6: Final answer
    x = 17,214.96

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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.