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Finding the Fourth Proportional to 123,533.62, 170,476.38 and 66,945

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Solution

The fourth proportional to 123,533.62, 170,476.38 and 66,945 is: 92,384.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,533.62 : 170,476.38 = 66,945 : x
  2. Step 2: Convert to fraction form
    123,533.62/170,476.38 = 66,945/x
  3. Step 3: Cross multiply
    123,533.62x = 170,476.38 × 66,945
  4. Step 4: Simplify right side
    123,533.62x = 11,412,541,259.10
  5. Step 5: Solve for x
    x = 11,412,541,259.10/123,533.62
  6. Step 6: Final answer
    x = 92,384.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.