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Finding the Fourth Proportional to 56,145.34, 84,175.86 and 33,954.16

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Solution

The fourth proportional to 56,145.34, 84,175.86 and 33,954.16 is: 50,905.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,145.34 : 84,175.86 = 33,954.16 : x
  2. Step 2: Convert to fraction form
    56,145.34/84,175.86 = 33,954.16/x
  3. Step 3: Cross multiply
    56,145.34x = 84,175.86 × 33,954.16
  4. Step 4: Simplify right side
    56,145.34x = 2,858,120,618.58
  5. Step 5: Solve for x
    x = 2,858,120,618.58/56,145.34
  6. Step 6: Final answer
    x = 50,905.75

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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.