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Finding the Fourth Proportional to 35,653.12, 49,426.39 and 33,757

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Solution

The fourth proportional to 35,653.12, 49,426.39 and 33,757 is: 46,797.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,653.12 : 49,426.39 = 33,757 : x
  2. Step 2: Convert to fraction form
    35,653.12/49,426.39 = 33,757/x
  3. Step 3: Cross multiply
    35,653.12x = 49,426.39 × 33,757
  4. Step 4: Simplify right side
    35,653.12x = 1,668,486,647.23
  5. Step 5: Solve for x
    x = 1,668,486,647.23/35,653.12
  6. Step 6: Final answer
    x = 46,797.77

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.