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Finding the Fourth Proportional to 54,782.39, 82,173.57 and 17,846.39

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Solution

The fourth proportional to 54,782.39, 82,173.57 and 17,846.39 is: 26,769.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,782.39 : 82,173.57 = 17,846.39 : x
  2. Step 2: Convert to fraction form
    54,782.39/82,173.57 = 17,846.39/x
  3. Step 3: Cross multiply
    54,782.39x = 82,173.57 × 17,846.39
  4. Step 4: Simplify right side
    54,782.39x = 1,466,501,577.91
  5. Step 5: Solve for x
    x = 1,466,501,577.91/54,782.39
  6. Step 6: Final answer
    x = 26,769.58

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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.