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Finding the Fourth Proportional to 35,757.52, 49,298.43 and 30,775.21

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Solution

The fourth proportional to 35,757.52, 49,298.43 and 30,775.21 is: 42,429.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,757.52 : 49,298.43 = 30,775.21 : x
  2. Step 2: Convert to fraction form
    35,757.52/49,298.43 = 30,775.21/x
  3. Step 3: Cross multiply
    35,757.52x = 49,298.43 × 30,775.21
  4. Step 4: Simplify right side
    35,757.52x = 1,517,169,535.92
  5. Step 5: Solve for x
    x = 1,517,169,535.92/35,757.52
  6. Step 6: Final answer
    x = 42,429.38

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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.