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Finding the Fourth Proportional to 34,789.16, 47,993.10 and 20,636.84

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Solution

The fourth proportional to 34,789.16, 47,993.10 and 20,636.84 is: 28,469.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,789.16 : 47,993.10 = 20,636.84 : x
  2. Step 2: Convert to fraction form
    34,789.16/47,993.10 = 20,636.84/x
  3. Step 3: Cross multiply
    34,789.16x = 47,993.10 × 20,636.84
  4. Step 4: Simplify right side
    34,789.16x = 990,425,925.80
  5. Step 5: Solve for x
    x = 990,425,925.80/34,789.16
  6. Step 6: Final answer
    x = 28,469.38

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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.