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Finding the Fourth Proportional to 65,288.57, 97,939.87 and 27,852.59

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Solution

The fourth proportional to 65,288.57, 97,939.87 and 27,852.59 is: 41,781.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,288.57 : 97,939.87 = 27,852.59 : x
  2. Step 2: Convert to fraction form
    65,288.57/97,939.87 = 27,852.59/x
  3. Step 3: Cross multiply
    65,288.57x = 97,939.87 × 27,852.59
  4. Step 4: Simplify right side
    65,288.57x = 2,727,879,218.98
  5. Step 5: Solve for x
    x = 2,727,879,218.98/65,288.57
  6. Step 6: Final answer
    x = 41,781.88

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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.