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Finding the Fourth Proportional to 74,891.68, 103,174.73 and 52,189.40

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Solution

The fourth proportional to 74,891.68, 103,174.73 and 52,189.40 is: 71,898.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,891.68 : 103,174.73 = 52,189.40 : x
  2. Step 2: Convert to fraction form
    74,891.68/103,174.73 = 52,189.40/x
  3. Step 3: Cross multiply
    74,891.68x = 103,174.73 × 52,189.40
  4. Step 4: Simplify right side
    74,891.68x = 5,384,627,642.27
  5. Step 5: Solve for x
    x = 5,384,627,642.27/74,891.68
  6. Step 6: Final answer
    x = 71,898.88

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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.