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Finding the Fourth Proportional to 35,932, 49,553.68 and 28,278.56

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Solution

The fourth proportional to 35,932, 49,553.68 and 28,278.56 is: 38,998.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,932 : 49,553.68 = 28,278.56 : x
  2. Step 2: Convert to fraction form
    35,932/49,553.68 = 28,278.56/x
  3. Step 3: Cross multiply
    35,932x = 49,553.68 × 28,278.56
  4. Step 4: Simplify right side
    35,932x = 1,401,306,713.10
  5. Step 5: Solve for x
    x = 1,401,306,713.10/35,932
  6. Step 6: Final answer
    x = 38,998.85

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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.