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Finding the Fourth Proportional to 49,346.56, 68,093.24 and 29,199.50

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Solution

The fourth proportional to 49,346.56, 68,093.24 and 29,199.50 is: 40,292.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,346.56 : 68,093.24 = 29,199.50 : x
  2. Step 2: Convert to fraction form
    49,346.56/68,093.24 = 29,199.50/x
  3. Step 3: Cross multiply
    49,346.56x = 68,093.24 × 29,199.50
  4. Step 4: Simplify right side
    49,346.56x = 1,988,288,561.38
  5. Step 5: Solve for x
    x = 1,988,288,561.38/49,346.56
  6. Step 6: Final answer
    x = 40,292.34

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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.