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Finding the Fourth Proportional to 55,634.96, 76,751.88 and 33,266

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Solution

The fourth proportional to 55,634.96, 76,751.88 and 33,266 is: 45,892.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,634.96 : 76,751.88 = 33,266 : x
  2. Step 2: Convert to fraction form
    55,634.96/76,751.88 = 33,266/x
  3. Step 3: Cross multiply
    55,634.96x = 76,751.88 × 33,266
  4. Step 4: Simplify right side
    55,634.96x = 2,553,228,040.08
  5. Step 5: Solve for x
    x = 2,553,228,040.08/55,634.96
  6. Step 6: Final answer
    x = 45,892.51

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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.