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Finding the Fourth Proportional to 65,282.54, 97,930.62 and 27,846.56

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Solution

The fourth proportional to 65,282.54, 97,930.62 and 27,846.56 is: 41,772.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,282.54 : 97,930.62 = 27,846.56 : x
  2. Step 2: Convert to fraction form
    65,282.54/97,930.62 = 27,846.56/x
  3. Step 3: Cross multiply
    65,282.54x = 97,930.62 × 27,846.56
  4. Step 4: Simplify right side
    65,282.54x = 2,727,031,130.49
  5. Step 5: Solve for x
    x = 2,727,031,130.49/65,282.54
  6. Step 6: Final answer
    x = 41,772.75

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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.