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Finding the Fourth Proportional to 38,012.68, 52,460.28 and 21,884.80

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Solution

The fourth proportional to 38,012.68, 52,460.28 and 21,884.80 is: 30,202.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,012.68 : 52,460.28 = 21,884.80 : x
  2. Step 2: Convert to fraction form
    38,012.68/52,460.28 = 21,884.80/x
  3. Step 3: Cross multiply
    38,012.68x = 52,460.28 × 21,884.80
  4. Step 4: Simplify right side
    38,012.68x = 1,148,082,735.74
  5. Step 5: Solve for x
    x = 1,148,082,735.74/38,012.68
  6. Step 6: Final answer
    x = 30,202.63

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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.