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Finding the Fourth Proportional to 65,209.60, 97,814.40 and 33,716.80

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Solution

The fourth proportional to 65,209.60, 97,814.40 and 33,716.80 is: 50,575.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,209.60 : 97,814.40 = 33,716.80 : x
  2. Step 2: Convert to fraction form
    65,209.60/97,814.40 = 33,716.80/x
  3. Step 3: Cross multiply
    65,209.60x = 97,814.40 × 33,716.80
  4. Step 4: Simplify right side
    65,209.60x = 3,297,988,561.92
  5. Step 5: Solve for x
    x = 3,297,988,561.92/65,209.60
  6. Step 6: Final answer
    x = 50,575.20

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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.