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Finding the Fourth Proportional to 65,406.97, 98,142.84 and 25,963.21

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Solution

The fourth proportional to 65,406.97, 98,142.84 and 25,963.21 is: 38,957.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,406.97 : 98,142.84 = 25,963.21 : x
  2. Step 2: Convert to fraction form
    65,406.97/98,142.84 = 25,963.21/x
  3. Step 3: Cross multiply
    65,406.97x = 98,142.84 × 25,963.21
  4. Step 4: Simplify right side
    65,406.97x = 2,548,103,164.92
  5. Step 5: Solve for x
    x = 2,548,103,164.92/65,406.97
  6. Step 6: Final answer
    x = 38,957.67

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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.