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Finding the Fourth Proportional to 38,882, 58,372 and 33,075.52

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Solution

The fourth proportional to 38,882, 58,372 and 33,075.52 is: 49,654.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,882 : 58,372 = 33,075.52 : x
  2. Step 2: Convert to fraction form
    38,882/58,372 = 33,075.52/x
  3. Step 3: Cross multiply
    38,882x = 58,372 × 33,075.52
  4. Step 4: Simplify right side
    38,882x = 1,930,684,253.44
  5. Step 5: Solve for x
    x = 1,930,684,253.44/38,882
  6. Step 6: Final answer
    x = 49,654.96

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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.