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Finding the Fourth Proportional to 82,358.40, 123,537.60 and 29,769.60

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Solution

The fourth proportional to 82,358.40, 123,537.60 and 29,769.60 is: 44,654.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,358.40 : 123,537.60 = 29,769.60 : x
  2. Step 2: Convert to fraction form
    82,358.40/123,537.60 = 29,769.60/x
  3. Step 3: Cross multiply
    82,358.40x = 123,537.60 × 29,769.60
  4. Step 4: Simplify right side
    82,358.40x = 3,677,664,936.96
  5. Step 5: Solve for x
    x = 3,677,664,936.96/82,358.40
  6. Step 6: Final answer
    x = 44,654.40

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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.