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Finding the Fourth Proportional to 27,931.50, 41,898.33 and 9,463.50

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Solution

The fourth proportional to 27,931.50, 41,898.33 and 9,463.50 is: 14,195.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,931.50 : 41,898.33 = 9,463.50 : x
  2. Step 2: Convert to fraction form
    27,931.50/41,898.33 = 9,463.50/x
  3. Step 3: Cross multiply
    27,931.50x = 41,898.33 × 9,463.50
  4. Step 4: Simplify right side
    27,931.50x = 396,504,845.96
  5. Step 5: Solve for x
    x = 396,504,845.96/27,931.50
  6. Step 6: Final answer
    x = 14,195.62

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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.