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Finding the Fourth Proportional to 49,499.68, 74,286.42 and 19,917.76

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Solution

The fourth proportional to 49,499.68, 74,286.42 and 19,917.76 is: 29,891.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,499.68 : 74,286.42 = 19,917.76 : x
  2. Step 2: Convert to fraction form
    49,499.68/74,286.42 = 19,917.76/x
  3. Step 3: Cross multiply
    49,499.68x = 74,286.42 × 19,917.76
  4. Step 4: Simplify right side
    49,499.68x = 1,479,618,985.23
  5. Step 5: Solve for x
    x = 1,479,618,985.23/49,499.68
  6. Step 6: Final answer
    x = 29,891.49

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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.