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Finding the Fourth Proportional to 65,375.84, 97,971.04 and 27,384.18

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Solution

The fourth proportional to 65,375.84, 97,971.04 and 27,384.18 is: 41,037.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,375.84 : 97,971.04 = 27,384.18 : x
  2. Step 2: Convert to fraction form
    65,375.84/97,971.04 = 27,384.18/x
  3. Step 3: Cross multiply
    65,375.84x = 97,971.04 × 27,384.18
  4. Step 4: Simplify right side
    65,375.84x = 2,682,856,594.15
  5. Step 5: Solve for x
    x = 2,682,856,594.15/65,375.84
  6. Step 6: Final answer
    x = 41,037.43

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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.