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Finding the Fourth Proportional to 55,646.84, 83,474.78 and 18,206.12

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Solution

The fourth proportional to 55,646.84, 83,474.78 and 18,206.12 is: 27,310.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,646.84 : 83,474.78 = 18,206.12 : x
  2. Step 2: Convert to fraction form
    55,646.84/83,474.78 = 18,206.12/x
  3. Step 3: Cross multiply
    55,646.84x = 83,474.78 × 18,206.12
  4. Step 4: Simplify right side
    55,646.84x = 1,519,751,861.65
  5. Step 5: Solve for x
    x = 1,519,751,861.65/55,646.84
  6. Step 6: Final answer
    x = 27,310.66

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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.