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Finding the Fourth Proportional to 34,493.82, 51,750.27 and 13,731.90

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Solution

The fourth proportional to 34,493.82, 51,750.27 and 13,731.90 is: 20,601.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,493.82 : 51,750.27 = 13,731.90 : x
  2. Step 2: Convert to fraction form
    34,493.82/51,750.27 = 13,731.90/x
  3. Step 3: Cross multiply
    34,493.82x = 51,750.27 × 13,731.90
  4. Step 4: Simplify right side
    34,493.82x = 710,629,532.61
  5. Step 5: Solve for x
    x = 710,629,532.61/34,493.82
  6. Step 6: Final answer
    x = 20,601.65

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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.