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Finding the Fourth Proportional to 34,536.96, 51,799.95 and 12,346.20

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Solution

The fourth proportional to 34,536.96, 51,799.95 and 12,346.20 is: 18,517.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,536.96 : 51,799.95 = 12,346.20 : x
  2. Step 2: Convert to fraction form
    34,536.96/51,799.95 = 12,346.20/x
  3. Step 3: Cross multiply
    34,536.96x = 51,799.95 × 12,346.20
  4. Step 4: Simplify right side
    34,536.96x = 639,532,542.69
  5. Step 5: Solve for x
    x = 639,532,542.69/34,536.96
  6. Step 6: Final answer
    x = 18,517.34

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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.