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Finding the Fourth Proportional to 74,250, 111,372.84 and 27,501.84

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Solution

The fourth proportional to 74,250, 111,372.84 and 27,501.84 is: 41,251.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,250 : 111,372.84 = 27,501.84 : x
  2. Step 2: Convert to fraction form
    74,250/111,372.84 = 27,501.84/x
  3. Step 3: Cross multiply
    74,250x = 111,372.84 × 27,501.84
  4. Step 4: Simplify right side
    74,250x = 3,062,958,026.03
  5. Step 5: Solve for x
    x = 3,062,958,026.03/74,250
  6. Step 6: Final answer
    x = 41,251.96

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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.