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Finding the Fourth Proportional to 65,151.60, 97,727.40 and 33,982.80

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Solution

The fourth proportional to 65,151.60, 97,727.40 and 33,982.80 is: 50,974.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,151.60 : 97,727.40 = 33,982.80 : x
  2. Step 2: Convert to fraction form
    65,151.60/97,727.40 = 33,982.80/x
  3. Step 3: Cross multiply
    65,151.60x = 97,727.40 × 33,982.80
  4. Step 4: Simplify right side
    65,151.60x = 3,321,050,688.72
  5. Step 5: Solve for x
    x = 3,321,050,688.72/65,151.60
  6. Step 6: Final answer
    x = 50,974.20

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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.