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Finding the Fourth Proportional to 74,506.14, 102,819.21 and 42,674.37

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Solution

The fourth proportional to 74,506.14, 102,819.21 and 42,674.37 is: 58,891.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,506.14 : 102,819.21 = 42,674.37 : x
  2. Step 2: Convert to fraction form
    74,506.14/102,819.21 = 42,674.37/x
  3. Step 3: Cross multiply
    74,506.14x = 102,819.21 × 42,674.37
  4. Step 4: Simplify right side
    74,506.14x = 4,387,745,010.65
  5. Step 5: Solve for x
    x = 4,387,745,010.65/74,506.14
  6. Step 6: Final answer
    x = 58,891.05

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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.