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Finding the Fourth Proportional to 65,138.12, 97,711.72 and 27,693.94

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Solution

The fourth proportional to 65,138.12, 97,711.72 and 27,693.94 is: 41,542.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,138.12 : 97,711.72 = 27,693.94 : x
  2. Step 2: Convert to fraction form
    65,138.12/97,711.72 = 27,693.94/x
  3. Step 3: Cross multiply
    65,138.12x = 97,711.72 × 27,693.94
  4. Step 4: Simplify right side
    65,138.12x = 2,706,022,510.98
  5. Step 5: Solve for x
    x = 2,706,022,510.98/65,138.12
  6. Step 6: Final answer
    x = 41,542.84

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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.