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Finding the Fourth Proportional to 55,178.40, 82,767.60 and 21,906.40

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Solution

The fourth proportional to 55,178.40, 82,767.60 and 21,906.40 is: 32,859.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,178.40 : 82,767.60 = 21,906.40 : x
  2. Step 2: Convert to fraction form
    55,178.40/82,767.60 = 21,906.40/x
  3. Step 3: Cross multiply
    55,178.40x = 82,767.60 × 21,906.40
  4. Step 4: Simplify right side
    55,178.40x = 1,813,140,152.64
  5. Step 5: Solve for x
    x = 1,813,140,152.64/55,178.40
  6. Step 6: Final answer
    x = 32,859.60

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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.