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Finding the Fourth Proportional to 31,333.28, 47,000.16 and 10,556.48

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Solution

The fourth proportional to 31,333.28, 47,000.16 and 10,556.48 is: 15,834.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,333.28 : 47,000.16 = 10,556.48 : x
  2. Step 2: Convert to fraction form
    31,333.28/47,000.16 = 10,556.48/x
  3. Step 3: Cross multiply
    31,333.28x = 47,000.16 × 10,556.48
  4. Step 4: Simplify right side
    31,333.28x = 496,156,249.04
  5. Step 5: Solve for x
    x = 496,156,249.04/31,333.28
  6. Step 6: Final answer
    x = 15,834.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.