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Finding the Fourth Proportional to 82,558.56, 123,837.84 and 33,276

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Solution

The fourth proportional to 82,558.56, 123,837.84 and 33,276 is: 49,914

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,558.56 : 123,837.84 = 33,276 : x
  2. Step 2: Convert to fraction form
    82,558.56/123,837.84 = 33,276/x
  3. Step 3: Cross multiply
    82,558.56x = 123,837.84 × 33,276
  4. Step 4: Simplify right side
    82,558.56x = 4,120,827,963.84
  5. Step 5: Solve for x
    x = 4,120,827,963.84/82,558.56
  6. Step 6: Final answer
    x = 49,914

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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.