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Finding the Fourth Proportional to 31,930.50, 47,917.76 and 11,154

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Solution

The fourth proportional to 31,930.50, 47,917.76 and 11,154 is: 16,738.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,930.50 : 47,917.76 = 11,154 : x
  2. Step 2: Convert to fraction form
    31,930.50/47,917.76 = 11,154/x
  3. Step 3: Cross multiply
    31,930.50x = 47,917.76 × 11,154
  4. Step 4: Simplify right side
    31,930.50x = 534,474,639.27
  5. Step 5: Solve for x
    x = 534,474,639.27/31,930.50
  6. Step 6: Final answer
    x = 16,738.69

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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.