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Finding the Fourth Proportional to 89,394.32, 134,108.78 and 33,986

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Solution

The fourth proportional to 89,394.32, 134,108.78 and 33,986 is: 50,985.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,394.32 : 134,108.78 = 33,986 : x
  2. Step 2: Convert to fraction form
    89,394.32/134,108.78 = 33,986/x
  3. Step 3: Cross multiply
    89,394.32x = 134,108.78 × 33,986
  4. Step 4: Simplify right side
    89,394.32x = 4,557,820,997.08
  5. Step 5: Solve for x
    x = 4,557,820,997.08/89,394.32
  6. Step 6: Final answer
    x = 50,985.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.