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Finding the Fourth Proportional to 55,946.40, 83,984.40 and 33,784.80

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Solution

The fourth proportional to 55,946.40, 83,984.40 and 33,784.80 is: 50,716.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,946.40 : 83,984.40 = 33,784.80 : x
  2. Step 2: Convert to fraction form
    55,946.40/83,984.40 = 33,784.80/x
  3. Step 3: Cross multiply
    55,946.40x = 83,984.40 × 33,784.80
  4. Step 4: Simplify right side
    55,946.40x = 2,837,396,157.12
  5. Step 5: Solve for x
    x = 2,837,396,157.12/55,946.40
  6. Step 6: Final answer
    x = 50,716.33

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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.