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Finding the Fourth Proportional to 65,164.70, 97,727.55 and 33,982.94

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Solution

The fourth proportional to 65,164.70, 97,727.55 and 33,982.94 is: 50,964.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,164.70 : 97,727.55 = 33,982.94 : x
  2. Step 2: Convert to fraction form
    65,164.70/97,727.55 = 33,982.94/x
  3. Step 3: Cross multiply
    65,164.70x = 97,727.55 × 33,982.94
  4. Step 4: Simplify right side
    65,164.70x = 3,321,069,468.00
  5. Step 5: Solve for x
    x = 3,321,069,468.00/65,164.70
  6. Step 6: Final answer
    x = 50,964.24

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1.5x scale

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.