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Finding the Fourth Proportional to 35,652.12, 49,425 and 33,756

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Solution

The fourth proportional to 35,652.12, 49,425 and 33,756 is: 46,796.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,652.12 : 49,425 = 33,756 : x
  2. Step 2: Convert to fraction form
    35,652.12/49,425 = 33,756/x
  3. Step 3: Cross multiply
    35,652.12x = 49,425 × 33,756
  4. Step 4: Simplify right side
    35,652.12x = 1,668,390,300
  5. Step 5: Solve for x
    x = 1,668,390,300/35,652.12
  6. Step 6: Final answer
    x = 46,796.38

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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.