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Finding the Fourth Proportional to 65,291.57, 97,944.38 and 27,855.60

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Solution

The fourth proportional to 65,291.57, 97,944.38 and 27,855.60 is: 41,786.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,291.57 : 97,944.38 = 27,855.60 : x
  2. Step 2: Convert to fraction form
    65,291.57/97,944.38 = 27,855.60/x
  3. Step 3: Cross multiply
    65,291.57x = 97,944.38 × 27,855.60
  4. Step 4: Simplify right side
    65,291.57x = 2,728,299,332.25
  5. Step 5: Solve for x
    x = 2,728,299,332.25/65,291.57
  6. Step 6: Final answer
    x = 41,786.40

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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.