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Finding the Fourth Proportional to 65,541.75, 98,195.98 and 27,507.39

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Solution

The fourth proportional to 65,541.75, 98,195.98 and 27,507.39 is: 41,212.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,541.75 : 98,195.98 = 27,507.39 : x
  2. Step 2: Convert to fraction form
    65,541.75/98,195.98 = 27,507.39/x
  3. Step 3: Cross multiply
    65,541.75x = 98,195.98 × 27,507.39
  4. Step 4: Simplify right side
    65,541.75x = 2,701,115,118.29
  5. Step 5: Solve for x
    x = 2,701,115,118.29/65,541.75
  6. Step 6: Final answer
    x = 41,212.13

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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.