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Finding the Fourth Proportional to 31,952.52, 47,950.11 and 11,176.02

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Solution

The fourth proportional to 31,952.52, 47,950.11 and 11,176.02 is: 16,771.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,952.52 : 47,950.11 = 11,176.02 : x
  2. Step 2: Convert to fraction form
    31,952.52/47,950.11 = 11,176.02/x
  3. Step 3: Cross multiply
    31,952.52x = 47,950.11 × 11,176.02
  4. Step 4: Simplify right side
    31,952.52x = 535,891,388.36
  5. Step 5: Solve for x
    x = 535,891,388.36/31,952.52
  6. Step 6: Final answer
    x = 16,771.49

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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.