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Finding the Fourth Proportional to 35,966.72, 49,625.64 and 21,819.20

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Solution

The fourth proportional to 35,966.72, 49,625.64 and 21,819.20 is: 30,105.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,966.72 : 49,625.64 = 21,819.20 : x
  2. Step 2: Convert to fraction form
    35,966.72/49,625.64 = 21,819.20/x
  3. Step 3: Cross multiply
    35,966.72x = 49,625.64 × 21,819.20
  4. Step 4: Simplify right side
    35,966.72x = 1,082,791,764.29
  5. Step 5: Solve for x
    x = 1,082,791,764.29/35,966.72
  6. Step 6: Final answer
    x = 30,105.38

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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.