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Finding the Fourth Proportional to 65,274.96, 97,939.98 and 27,843.24

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Solution

The fourth proportional to 65,274.96, 97,939.98 and 27,843.24 is: 41,776.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,274.96 : 97,939.98 = 27,843.24 : x
  2. Step 2: Convert to fraction form
    65,274.96/97,939.98 = 27,843.24/x
  3. Step 3: Cross multiply
    65,274.96x = 97,939.98 × 27,843.24
  4. Step 4: Simplify right side
    65,274.96x = 2,726,966,368.74
  5. Step 5: Solve for x
    x = 2,726,966,368.74/65,274.96
  6. Step 6: Final answer
    x = 41,776.61

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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.