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Finding the Fourth Proportional to 75,213.50, 112,827.74 and 27,841.25

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Solution

The fourth proportional to 75,213.50, 112,827.74 and 27,841.25 is: 41,764.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,213.50 : 112,827.74 = 27,841.25 : x
  2. Step 2: Convert to fraction form
    75,213.50/112,827.74 = 27,841.25/x
  3. Step 3: Cross multiply
    75,213.50x = 112,827.74 × 27,841.25
  4. Step 4: Simplify right side
    75,213.50x = 3,141,265,459.14
  5. Step 5: Solve for x
    x = 3,141,265,459.14/75,213.50
  6. Step 6: Final answer
    x = 41,764.65

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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.