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Finding the Fourth Proportional to 68,264.64, 102,358.08 and 33,160.32

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Solution

The fourth proportional to 68,264.64, 102,358.08 and 33,160.32 is: 49,721.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,264.64 : 102,358.08 = 33,160.32 : x
  2. Step 2: Convert to fraction form
    68,264.64/102,358.08 = 33,160.32/x
  3. Step 3: Cross multiply
    68,264.64x = 102,358.08 × 33,160.32
  4. Step 4: Simplify right side
    68,264.64x = 3,394,226,687.39
  5. Step 5: Solve for x
    x = 3,394,226,687.39/68,264.64
  6. Step 6: Final answer
    x = 49,721.59

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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.