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Finding the Fourth Proportional to 31,180.50, 46,771.16 and 10,404

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Solution

The fourth proportional to 31,180.50, 46,771.16 and 10,404 is: 15,606.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,180.50 : 46,771.16 = 10,404 : x
  2. Step 2: Convert to fraction form
    31,180.50/46,771.16 = 10,404/x
  3. Step 3: Cross multiply
    31,180.50x = 46,771.16 × 10,404
  4. Step 4: Simplify right side
    31,180.50x = 486,607,096.62
  5. Step 5: Solve for x
    x = 486,607,096.62/31,180.50
  6. Step 6: Final answer
    x = 15,606.14

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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.