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Finding the Fourth Proportional to 31,647.72, 43,655.58 and 20,469.72

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Solution

The fourth proportional to 31,647.72, 43,655.58 and 20,469.72 is: 28,236.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,647.72 : 43,655.58 = 20,469.72 : x
  2. Step 2: Convert to fraction form
    31,647.72/43,655.58 = 20,469.72/x
  3. Step 3: Cross multiply
    31,647.72x = 43,655.58 × 20,469.72
  4. Step 4: Simplify right side
    31,647.72x = 893,617,499.04
  5. Step 5: Solve for x
    x = 893,617,499.04/31,647.72
  6. Step 6: Final answer
    x = 28,236.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.