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Finding the Fourth Proportional to 82,419.60, 123,629.82 and 35,022.48

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Solution

The fourth proportional to 82,419.60, 123,629.82 and 35,022.48 is: 52,533.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,419.60 : 123,629.82 = 35,022.48 : x
  2. Step 2: Convert to fraction form
    82,419.60/123,629.82 = 35,022.48/x
  3. Step 3: Cross multiply
    82,419.60x = 123,629.82 × 35,022.48
  4. Step 4: Simplify right side
    82,419.60x = 4,329,822,898.35
  5. Step 5: Solve for x
    x = 4,329,822,898.35/82,419.60
  6. Step 6: Final answer
    x = 52,533.90

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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.